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Номер 5, страница 38 - гдз по физике 9 класс учебник Шахмаев, Бунчук
Авторы: Шахмаев Н. М., Бунчук А. В.
Тип: Учебник
Издательство: Мнемозина
Год издания: 2007 - 2026
Цвет обложки: голубой
ISBN: 978-5-346-01799-8
Популярные ГДЗ в 9 классе
Глава 3. Прямолинейное неравномерное движение. Параграф 7. Скорость при неравномерном движении - номер 5, страница 38.
App\Models\Task {#1030 // resources/views/models/task/default.blade.php #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1436891 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "38" "field_page_end" => null "field_url" => "/9-klass/fizika/shahmaev-uchebnik/07-5" "field_display_title" => "5" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1037 #items: array:1 [ 0 => App\Models\Term {#1036 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 26 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "номер" "field_cases" => array:6 [ "field_accusative_case" => "номер" "field_creative_case" => "номером" "field_dative_case" => "номеру" "field_genitive_case" => "номера" "field_nominative_case" => "номер" "field_prepositional_case" => "номере" ] "field_short_name" => "№" ] #original: array:6 [ "id" => 26 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "номер" "field_cases" => array:6 [ "field_accusative_case" => "номер" "field_creative_case" => "номером" "field_dative_case" => "номеру" "field_genitive_case" => "номера" "field_nominative_case" => "номер" "field_prepositional_case" => "номере" ] "field_short_name" => "№" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1035 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1046 #items: array:1 [ 0 => App\Models\Branch {#1045 #connection: "mysql" #table: "branches" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1436800 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Прямолинейное неравномерное движение" "field_branch_order" => "3" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1050 #items: array:1 [ 0 => App\Models\Term {#1047 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:7 [ "id" => 29 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Глава" "field_cases" => array:6 [ "field_accusative_case" => "Главу" "field_creative_case" => "Главой" "field_dative_case" => "Главе" "field_genitive_case" => "Главы" "field_nominative_case" => "Глава" "field_prepositional_case" => "Главе" ] "field_page_check_not_needed" => null "field_short_name" => null ] #original: array:7 [ "id" => 29 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Глава" "field_cases" => array:6 [ "field_accusative_case" => "Главу" "field_creative_case" => "Главой" "field_dative_case" => "Главе" "field_genitive_case" => "Главы" "field_nominative_case" => "Глава" "field_prepositional_case" => "Главе" ] "field_page_check_not_needed" => null "field_short_name" => null ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_page_start" => "33" "field_branch_display" => "0" "field_branch_expanded" => "0" "field_display_branch_in_title" => "1" "field_display_task_interval" => "0" "field_display_branch_page" => "1" "field_branch_title_in_content" => "0" "field_navigation_title" => null "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_branch_cover" => [] "field_branch_covers" => [] "book" => Illuminate\Database\Eloquent\Collection {#1080 #items: array:1 [ 0 => App\Models\Book {#1049 #connection: "mysql" #table: "books" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:50 [ "id" => 2906 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_tree_default_status" => "tasks" "field_pages_status" => null "field_subject" => Illuminate\Database\Eloquent\Collection {#1051 #items: array:1 [ 0 => App\Models\Term {#1048 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:10 [ "id" => 6493 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Физика" "field_abbreviated_name" => null "field_cases" => array:6 [ "field_accusative_case" => "физику" "field_creative_case" => "физикой" "field_dative_case" => "физике" "field_genitive_case" => "физики" "field_nominative_case" => "физика" "field_prepositional_case" => "физике" ] "field_foreign_lang_name" => null "field_short_name" => null "field_subject_type" => "technical_subject" "field_translit" => "fizika" ] #original: array:10 [ "id" => 6493 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Физика" "field_abbreviated_name" => null "field_cases" => array:6 [ "field_accusative_case" => "физику" "field_creative_case" => "физикой" "field_dative_case" => "физике" "field_genitive_case" => "физики" "field_nominative_case" => "физика" "field_prepositional_case" => "физике" ] "field_foreign_lang_name" => null "field_short_name" => null "field_subject_type" => "technical_subject" "field_translit" => "fizika" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_class" => Illuminate\Database\Eloquent\Collection {#1052 #items: array:1 [ 0 => App\Models\Term {#1053 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 5458 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "9" "field_cases" => array:6 [ "field_accusative_case" => "девятый" "field_creative_case" => "девятым" "field_dative_case" => "девятому" "field_genitive_case" => "девятого" "field_nominative_case" => "девятый" "field_prepositional_case" => "девятом" ] "field_translit" => "devjatyj" ] #original: array:6 [ "id" => 5458 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "9" "field_cases" => array:6 [ "field_accusative_case" => "девятый" "field_creative_case" => "девятым" "field_dative_case" => "девятому" "field_genitive_case" => "девятого" "field_nominative_case" => "девятый" "field_prepositional_case" => "девятом" ] "field_translit" => "devjatyj" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_publisher" => Illuminate\Database\Eloquent\Collection {#1054 #items: array:1 [ 0 => App\Models\Term {#1055 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 5155 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Мнемозина" "field_cases" => null "field_translit" => "mnemozina" ] #original: array:6 [ "id" => 5155 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Мнемозина" "field_cases" => null "field_translit" => "mnemozina" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_author" => Illuminate\Database\Eloquent\Collection {#1056 #items: array:2 [ 0 => App\Models\Term {#1057 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:12 [ "id" => 6294 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Шахмаев" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Николай" "field_patronymic" => "Михайлович" "field_surname_rp" => null ] #original: array:12 [ "id" => 6294 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Шахмаев" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Николай" "field_patronymic" => "Михайлович" "field_surname_rp" => null ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 1 => App\Models\Term {#1058 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:12 [ "id" => 3942 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Бунчук" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Алексей" "field_patronymic" => "Васильевич" "field_surname_rp" => null ] #original: array:12 [ "id" => 3942 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Бунчук" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Алексей" "field_patronymic" => "Васильевич" "field_surname_rp" => null ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1059 #items: [] #escapeWhenCastingToString: false } "field_book_type" => Illuminate\Database\Eloquent\Collection {#1060 #items: array:1 [ 0 => App\Models\Term {#1061 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:10 [ "id" => 6671 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Учебник" "field_book_type_foreign" => null "field_cases" => array:6 [ "field_accusative_case" => "учебник" "field_creative_case" => "учебником" "field_dative_case" => "учебнику" "field_genitive_case" => "учебника" "field_nominative_case" => "учебник" "field_prepositional_case" => "учебнике" ] "field_plural_form" => null "field_short_name" => null "field_short_name_foreign" => null "field_translit" => "uchebnik" ] #original: array:10 [ "id" => 6671 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Учебник" "field_book_type_foreign" => null "field_cases" => array:6 [ "field_accusative_case" => "учебник" "field_creative_case" => "учебником" "field_dative_case" => "учебнику" "field_genitive_case" => "учебника" "field_nominative_case" => "учебник" "field_prepositional_case" => "учебнике" ] "field_plural_form" => null "field_short_name" => null "field_short_name_foreign" => null "field_translit" => "uchebnik" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_country" => Illuminate\Database\Eloquent\Collection {#1062 #items: array:1 [ 0 => App\Models\Term {#1063 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 9 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Россия" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_translit" => "rossiya" ] #original: array:6 [ "id" => 9 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Россия" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_translit" => "rossiya" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_city" => Illuminate\Database\Eloquent\Collection {#1064 #items: array:1 [ 0 => App\Models\Term {#1065 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 15 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Москва" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_translit" => "moskva" ] #original: array:6 [ "id" => 15 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Москва" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_translit" => "moskva" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_series" => Illuminate\Database\Eloquent\Collection {#1066 #items: [] #escapeWhenCastingToString: false } "field_umk" => Illuminate\Database\Eloquent\Collection {#1067 #items: [] #escapeWhenCastingToString: false } "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1068 #items: [] #escapeWhenCastingToString: false } "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1069 #items: [] #escapeWhenCastingToString: false } "field_publication_number" => "4" "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1070 #items: array:1 [ 0 => App\Models\Term {#1071 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 33 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "стереотипное" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_translit" => "stereotipnoe" ] #original: array:6 [ "id" => 33 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "стереотипное" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_translit" => "stereotipnoe" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1072 #items: [] #escapeWhenCastingToString: false } "field_under_the_edition_degree" => null "field_cover_description" => null "field_publication_year" => "2007" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебное издание" "field_allowed" => null "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "362" "field_priority" => null "field_default_folder" => "/fizika_09/shahmaev-u/" "field_isbn" => "978-5-346-01799-8" "field_cover" => array:1 [ 0 => "/media/fizika_09/shahmaev-u/covers/cover1.webp?ts=1759080267" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/fizika_09/shahmaev-u/covers/cover1.webp?ts=1759080267" "alt" => "" "width" => "2294" "height" => "3039" ] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1073 #items: [] #escapeWhenCastingToString: false } "field_new_book" => Illuminate\Database\Eloquent\Collection {#1074 #items: [] #escapeWhenCastingToString: false } "field_old_book" => Illuminate\Database\Eloquent\Collection {#1075 #items: [] #escapeWhenCastingToString: false } "field_url" => "/9-klass/fizika/shahmaev-uchebnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1076 #items: array:1 [ 0 => App\Models\Term {#1077 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 52 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "голубой" "field_cases" => array:6 [ "field_accusative_case" => "голубой" "field_creative_case" => "голубым" "field_dative_case" => "голубому" "field_genitive_case" => "голубого" "field_nominative_case" => "голубой" "field_prepositional_case" => "голубом" ] "field_translit" => "goluboy" ] #original: array:6 [ "id" => 52 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "голубой" "field_cases" => array:6 [ "field_accusative_case" => "голубой" "field_creative_case" => "голубым" "field_dative_case" => "голубому" "field_genitive_case" => "голубого" "field_nominative_case" => "голубой" "field_prepositional_case" => "голубом" ] "field_translit" => "goluboy" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "breadcrumbs" => array:3 [ "class" => 380 "subject" => 556 "class_subject" => 493 ] ] #original: array:50 [ "id" => 2906 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_tree_default_status" => "tasks" "field_pages_status" => null "field_subject" => Illuminate\Database\Eloquent\Collection {#1051} "field_class" => Illuminate\Database\Eloquent\Collection {#1052} "field_publisher" => Illuminate\Database\Eloquent\Collection {#1054} "field_author" => Illuminate\Database\Eloquent\Collection {#1056} "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1059} "field_book_type" => Illuminate\Database\Eloquent\Collection {#1060} "field_country" => Illuminate\Database\Eloquent\Collection {#1062} "field_city" => Illuminate\Database\Eloquent\Collection {#1064} "field_series" => Illuminate\Database\Eloquent\Collection {#1066} "field_umk" => Illuminate\Database\Eloquent\Collection {#1067} "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1068} "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1069} "field_publication_number" => "4" "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1070} "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1072} "field_under_the_edition_degree" => null "field_cover_description" => null "field_publication_year" => "2007" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебное издание" "field_allowed" => null "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "362" "field_priority" => null "field_default_folder" => "/fizika_09/shahmaev-u/" "field_isbn" => "978-5-346-01799-8" "field_cover" => array:1 [ 0 => "/media/fizika_09/shahmaev-u/covers/cover1.webp?ts=1759080267" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/fizika_09/shahmaev-u/covers/cover1.webp?ts=1759080267" "alt" => "" "width" => "2294" "height" => "3039" ] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1073} "field_new_book" => Illuminate\Database\Eloquent\Collection {#1074} "field_old_book" => Illuminate\Database\Eloquent\Collection {#1075} "field_url" => "/9-klass/fizika/shahmaev-uchebnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1076} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "breadcrumbs" => array:3 [ "class" => 380 "subject" => 556 "class_subject" => 493 ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1078 #items: [] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1436800 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Прямолинейное неравномерное движение" "field_branch_order" => "3" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1050} "field_page_start" => "33" "field_branch_display" => "0" "field_branch_expanded" => "0" "field_display_branch_in_title" => "1" "field_display_task_interval" => "0" "field_display_branch_page" => "1" "field_branch_title_in_content" => "0" "field_navigation_title" => null "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_branch_cover" => [] "field_branch_covers" => [] "book" => Illuminate\Database\Eloquent\Collection {#1080} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1078} ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1109 #items: array:2 [ 0 => App\Models\Branch {#1117 #connection: "mysql" #table: "branches" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1436800 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Прямолинейное неравномерное движение" "field_branch_order" => "3" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1118 #items: array:1 [ 0 => App\Models\Term {#1047} ] #escapeWhenCastingToString: false } "field_page_start" => "33" "field_branch_display" => "0" "field_branch_expanded" => "0" "field_display_branch_in_title" => "1" "field_display_task_interval" => "0" "field_display_branch_page" => "1" "field_branch_title_in_content" => "0" "field_navigation_title" => null "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_branch_cover" => [] "field_branch_covers" => [] "book" => Illuminate\Database\Eloquent\Collection {#1119 #items: array:1 [ 0 => App\Models\Book {#1049} ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1120 #items: [] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1436800 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Прямолинейное неравномерное движение" "field_branch_order" => "3" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1118} "field_page_start" => "33" "field_branch_display" => "0" "field_branch_expanded" => "0" "field_display_branch_in_title" => "1" "field_display_task_interval" => "0" "field_display_branch_page" => "1" "field_branch_title_in_content" => "0" "field_navigation_title" => null "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_branch_cover" => [] "field_branch_covers" => [] "book" => Illuminate\Database\Eloquent\Collection {#1119} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1120} ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 1 => App\Models\Branch {#1121 #connection: "mysql" #table: "branches" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1436801 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Скорость при неравномерном движении" "field_branch_order" => "7" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1125 #items: array:1 [ 0 => App\Models\Term {#1122 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:7 [ "id" => 32 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Параграф" "field_cases" => array:6 [ "field_accusative_case" => "Параграф" "field_creative_case" => "Параграфом" "field_dative_case" => "Параграфу" "field_genitive_case" => "Параграфа" "field_nominative_case" => "Параграф" "field_prepositional_case" => "Параграфе" ] "field_page_check_not_needed" => null "field_short_name" => "§" ] #original: array:7 [ "id" => 32 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Параграф" "field_cases" => array:6 [ "field_accusative_case" => "Параграф" "field_creative_case" => "Параграфом" "field_dative_case" => "Параграфу" "field_genitive_case" => "Параграфа" "field_nominative_case" => "Параграф" "field_prepositional_case" => "Параграфе" ] "field_page_check_not_needed" => null "field_short_name" => "§" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_page_start" => "33" "field_branch_display" => "0" "field_branch_expanded" => "0" "field_display_branch_in_title" => "1" "field_display_task_interval" => "0" "field_display_branch_page" => "1" "field_branch_title_in_content" => "0" "field_navigation_title" => null "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_branch_cover" => [] "field_branch_covers" => [] "book" => Illuminate\Database\Eloquent\Collection {#1124 #items: array:1 [ 0 => App\Models\Book {#1049} ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1123 #items: array:1 [ 0 => App\Models\Branch {#1045} ] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1436801 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Скорость при неравномерном движении" "field_branch_order" => "7" "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1125} "field_page_start" => "33" "field_branch_display" => "0" "field_branch_expanded" => "0" "field_display_branch_in_title" => "1" "field_display_task_interval" => "0" "field_display_branch_page" => "1" "field_branch_title_in_content" => "0" "field_navigation_title" => null "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_branch_cover" => [] "field_branch_covers" => [] "book" => Illuminate\Database\Eloquent\Collection {#1124} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1123} ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1038 #items: array:2 [ 0 => App\Models\Element {#1100 #connection: "mysql" #table: "elements" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:7 [ "id" => 1702312 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1090 #items: array:1 [ 0 => App\Models\Edition {#1098 #connection: "mysql" #table: "editions" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:21 [ "id" => 6109 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие" "field_order" => "1" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1097 #items: array:1 [ 0 => App\Models\Term {#1099 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 5155 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Мнемозина" "field_cases" => null "field_translit" => "mnemozina" ] #original: array:6 [ "id" => 5155 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Мнемозина" "field_cases" => null "field_translit" => "mnemozina" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_content_type" => "free" "field_content_mode" => "text, image" "field_page_content_mode" => "image" "field_content_text_checked" => null "field_page_content_text_checked" => "0" "field_solution_author" => "Автор" "field_moderator" => "stas" "field_edition_type" => "statement" "field_root_dir" => "0-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1096 #items: [] #escapeWhenCastingToString: false } "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1095 #items: [] #escapeWhenCastingToString: false } "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1094 #items: [] #escapeWhenCastingToString: false } "field_content_source" => null ] #original: array:21 [ "id" => 6109 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие" "field_order" => "1" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1097} "field_content_type" => "free" "field_content_mode" => "text, image" "field_page_content_mode" => "image" "field_content_text_checked" => null "field_page_content_text_checked" => "0" "field_solution_author" => "Автор" "field_moderator" => "stas" "field_edition_type" => "statement" "field_root_dir" => "0-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1096} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1095} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1094} "field_content_source" => null ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "task" => array:2 [ "refs" => "1436891" "type" => "task" ] "text" => "<p><strong>*5.</strong> Трамвай проехал первые 100 м со скоростью 5 м/с, а следующие 600 м — со скоростью 10 м/с. Определите среднюю скорость трамвая на всем пути.</p>" "img" => array:1 [ 0 => array:5 [ "name" => "5-1.jpg" "alt" => null "width" => "1615" "height" => 172 "path" => "/media/fizika_09/shahmaev-u/0-07/5-1.webp?ts=1759448796" ] ] ] #original: array:7 [ "id" => 1702312 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1090} "task" => array:2 [ "refs" => "1436891" "type" => "task" ] "text" => "<p><strong>*5.</strong> Трамвай проехал первые 100 м со скоростью 5 м/с, а следующие 600 м — со скоростью 10 м/с. Определите среднюю скорость трамвая на всем пути.</p>" "img" => array:1 [ 0 => array:5 [ "name" => "5-1.jpg" "alt" => null "width" => "1615" "height" => 172 "path" => "/media/fizika_09/shahmaev-u/0-07/5-1.webp?ts=1759448796" ] ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 1 => App\Models\Element {#1092 #connection: "mysql" #table: "elements" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 1732233 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1082 #items: array:1 [ 0 => App\Models\Edition {#1093 #connection: "mysql" #table: "editions" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:21 [ "id" => 6315 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение" "field_order" => "2" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1088 #items: array:1 [ 0 => App\Models\Term {#1091 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 7012 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Gemini 2.5 Pro" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_translit" => "gemini 2.5 pro" ] #original: array:6 [ "id" => 7012 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Gemini 2.5 Pro" "field_cases" => array:6 [ "field_accusative_case" => null "field_creative_case" => null "field_dative_case" => null "field_genitive_case" => null …2 ] "field_translit" => "gemini 2.5 pro" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_content_type" => "free" "field_content_mode" => "text" "field_page_content_mode" => "" "field_content_text_checked" => null "field_page_content_text_checked" => "0" "field_solution_author" => "Gemini 2.5 Pro" "field_moderator" => "tolik" "field_edition_type" => "solution" "field_root_dir" => "1-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1089 #items: [] #escapeWhenCastingToString: false } "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1087 #items: [] #escapeWhenCastingToString: false } "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1084 #items: [] #escapeWhenCastingToString: false } "field_content_source" => null ] #original: array:21 [ "id" => 6315 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение" "field_order" => "2" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1088} "field_content_type" => "free" "field_content_mode" => "text" "field_page_content_mode" => "" "field_content_text_checked" => null "field_page_content_text_checked" => "0" "field_solution_author" => "Gemini 2.5 Pro" "field_moderator" => "tolik" "field_edition_type" => "solution" "field_root_dir" => "1-" "field_responsible" => Illuminate\Database\Eloquent\Collection {#1089} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1087} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1084} "field_content_source" => null ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "task" => array:2 [ "refs" => "1436891" "type" => "task" ] "text" => "<p><strong>Дано:</strong></p><p>$s_1 = 100$ м</p><p>$v_1 = 5$ м/с</p><p>$s_2 = 600$ м</p><p>$v_2 = 10$ м/с</p><p>Все данные представлены в системе СИ.</p><p><strong>Найти:</strong></p><p>$v_{ср}$</p><p><strong>Решение:</strong></p><p>Средняя скорость движения вычисляется как отношение всего пройденного пути ко всему времени, затраченному на этот путь. Формула для средней скорости:</p><p>$v_{ср} = \frac{S_{общ}}{t_{общ}}$</p><p>где $S_{общ}$ — это общий путь, а $t_{общ}$ — общее время движения.</p><p><strong>1.</strong> Найдем общий путь, который проехал трамвай. Он равен сумме длин двух участков:</p><p>$S_{общ} = s_1 + s_2 = 100 \text{ м} + 600 \text{ м} = 700 \text{ м}$</p><p><strong>2.</strong> Найдем общее время движения. Оно равно сумме времени движения на первом и втором участках ($t_1$ и $t_2$).</p><p>$t_{общ} = t_1 + t_2$</p><p>Время движения на каждом участке найдем по формуле $t = \frac{s}{v}$:</p><p>Время на первом участке:</p><p>$t_1 = \frac{s_1}{v_1} = \frac{100 \text{ м}}{5 \text{ м/с}} = 20 \text{ с}$</p><p>Время на втором участке:</p><p>$t_2 = \frac{s_2}{v_2} = \frac{600 \text{ м}}{10 \text{ м/с}} = 60 \text{ с}$</p><p>Теперь вычислим общее время:</p><p>$t_{общ} = 20 \text{ с} + 60 \text{ с} = 80 \text{ с}$</p><p><strong>3.</strong> Теперь мы можем определить среднюю скорость трамвая на всем пути, подставив найденные значения в основную формулу:</p><p>$v_{ср} = \frac{S_{общ}}{t_{общ}} = \frac{700 \text{ м}}{80 \text{ с}} = 8.75 \text{ м/с}$</p><p><strong>Ответ:</strong> средняя скорость трамвая на всем пути составляет 8,75 м/с.</p>" ] #original: array:6 [ "id" => 1732233 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1082} "task" => array:2 [ "refs" => "1436891" "type" => "task" ] "text" => "<p><strong>Дано:</strong></p><p>$s_1 = 100$ м</p><p>$v_1 = 5$ м/с</p><p>$s_2 = 600$ м</p><p>$v_2 = 10$ м/с</p><p>Все данные представлены в системе СИ.</p><p><strong>Найти:</strong></p><p>$v_{ср}$</p><p><strong>Решение:</strong></p><p>Средняя скорость движения вычисляется как отношение всего пройденного пути ко всему времени, затраченному на этот путь. Формула для средней скорости:</p><p>$v_{ср} = \frac{S_{общ}}{t_{общ}}$</p><p>где $S_{общ}$ — это общий путь, а $t_{общ}$ — общее время движения.</p><p><strong>1.</strong> Найдем общий путь, который проехал трамвай. Он равен сумме длин двух участков:</p><p>$S_{общ} = s_1 + s_2 = 100 \text{ м} + 600 \text{ м} = 700 \text{ м}$</p><p><strong>2.</strong> Найдем общее время движения. Оно равно сумме времени движения на первом и втором участках ($t_1$ и $t_2$).</p><p>$t_{общ} = t_1 + t_2$</p><p>Время движения на каждом участке найдем по формуле $t = \frac{s}{v}$:</p><p>Время на первом участке:</p><p>$t_1 = \frac{s_1}{v_1} = \frac{100 \text{ м}}{5 \text{ м/с}} = 20 \text{ с}$</p><p>Время на втором участке:</p><p>$t_2 = \frac{s_2}{v_2} = \frac{600 \text{ м}}{10 \text{ м/с}} = 60 \text{ с}$</p><p>Теперь вычислим общее время:</p><p>$t_{общ} = 20 \text{ с} + 60 \text{ с} = 80 \text{ с}$</p><p><strong>3.</strong> Теперь мы можем определить среднюю скорость трамвая на всем пути, подставив найденные значения в основную формулу:</p><p>$v_{ср} = \frac{S_{общ}}{t_{общ}} = \frac{700 \text{ м}}{80 \text{ с}} = 8.75 \text{ м/с}$</p><p><strong>Ответ:</strong> средняя скорость трамвая на всем пути составляет 8,75 м/с.</p>" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1436892" "type" => "task" ] "previous" => array:2 [ "refs" => "1436890" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1103 #items: array:1 [ 0 => App\Models\Book {#1049} ] #escapeWhenCastingToString: false } "page" => Illuminate\Database\Eloquent\Collection {#1040 #items: array:1 [ 0 => App\Models\BookPage {#1105 #connection: "mysql" #table: "book_pages" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:21 [ "id" => 1436597 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "38" "field_url" => "/9-klass/fizika/shahmaev-uchebnik/page-38" "field_display_title" => "38" "field_folder" => "1" "field_image_name" => "38" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1086 #items: [] #escapeWhenCastingToString: false } "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1085 #items: array:1 [ 0 => App\Models\Book {#1049} ] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "edition_groups" => Illuminate\Database\Eloquent\Collection {#1083 #items: [] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1112 #items: array:1 [ 0 => App\Models\Element {#1116 #connection: "mysql" #table: "elements" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 1702673 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1110 #items: array:1 [ 0 => App\Models\Edition {#1098} ] #escapeWhenCastingToString: false } "book_page" => array:2 [ "refs" => "1436597" "type" => "book_page" ] "img" => array:1 [ 0 => array:5 [ "name" => "38-1.jpg" "alt" => null "width" => "1994" "height" => 2505 "path" => "/media/fizika_09/shahmaev-u/0-1/38-1.webp?ts=1759449068" ] ] ] #original: array:6 [ "id" => 1702673 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1110} "book_page" => array:2 [ "refs" => "1436597" "type" => "book_page" ] "img" => array:1 [ 0 => array:5 [ "name" => "38-1.jpg" "alt" => null "width" => "1994" "height" => 2505 "path" => "/media/fizika_09/shahmaev-u/0-1/38-1.webp?ts=1759449068" ] ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1436598" "type" => "book_page" ] "previous" => array:2 [ "refs" => "1436596" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#1186 #items: array:4 [ 0 => App\Models\Task {#1196 #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1436889 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "38" "field_page_end" => null "field_url" => "/9-klass/fizika/shahmaev-uchebnik/07-3" "field_display_title" => "3" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1197 #items: array:1 [ 0 => App\Models\Term {#1036} ] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1198 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1199 #items: array:1 [ 0 => App\Models\Branch {#1117} ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1200 #items: array:2 [ 0 => App\Models\Branch {#1117} 1 => App\Models\Branch {#1121} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1202 #items: array:2 [ 0 => App\Models\Element {#1211 #connection: "mysql" #table: "elements" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:7 [ "id" => 1702310 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1212 …2} "task" => array:2 [ …2] "text" => "<p><strong>3.</strong> Автомобиль проезжал за каждый час 60 км. Можно ли утверждать, что его движение было равномерным?</p>" "img" => array:1 [ …1] ] #original: array:7 [ "id" => 1702310 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1212 …2} "task" => array:2 [ …2] "text" => "<p><strong>3.</strong> Автомобиль проезжал за каждый час 60 км. Можно ли утверждать, что его движение было равномерным?</p>" "img" => array:1 [ …1] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 1 => App\Models\Element {#1213 #connection: "mysql" #table: "elements" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 1732231 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1214 …2} "task" => array:2 [ …2] "text" => "<p><strong>Решение</strong></p><p>Равномерное движение — это движение, при котором тело за любые равные промежутки времени проходит равные пути. Это означает, что мгновенная скорость тела постоянна.</p><p>В условии сказано, что автомобиль проезжал 60 км за каждый час. Эта информация позволяет определить только среднюю скорость автомобиля на часовых промежутках: она составляет 60 км/ч. Однако, чтобы движение считалось равномерным, скорость должна быть постоянной в любой момент времени, а не только в среднем за час.</p><p>Рассмотрим пример. Автомобиль мог первую половину часа (30 минут) стоять на месте, а вторую половину часа ехать со скоростью 120 км/ч. В таком случае за час он также проедет 60 км, но его движение не будет равномерным, так как его скорость менялась от 0 км/ч до 120 км/ч.</p><p>Таким образом, из того, что автомобиль проезжал 60 км за каждый час, не следует, что он двигался равномерно. Условие равномерности требует, чтобы за любые равные промежутки времени (например, за каждую минуту или секунду) автомобиль проходил одинаковое расстояние.</p><p><strong>Ответ:</strong> Нет, утверждать, что его движение было равномерным, нельзя.</p>" ] #original: array:6 [ "id" => 1732231 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1214 …2} "task" => array:2 [ …2] "text" => "<p><strong>Решение</strong></p><p>Равномерное движение — это движение, при котором тело за любые равные промежутки времени проходит равные пути. Это означает, что мгновенная скорость тела постоянна.</p><p>В условии сказано, что автомобиль проезжал 60 км за каждый час. Эта информация позволяет определить только среднюю скорость автомобиля на часовых промежутках: она составляет 60 км/ч. Однако, чтобы движение считалось равномерным, скорость должна быть постоянной в любой момент времени, а не только в среднем за час.</p><p>Рассмотрим пример. Автомобиль мог первую половину часа (30 минут) стоять на месте, а вторую половину часа ехать со скоростью 120 км/ч. В таком случае за час он также проедет 60 км, но его движение не будет равномерным, так как его скорость менялась от 0 км/ч до 120 км/ч.</p><p>Таким образом, из того, что автомобиль проезжал 60 км за каждый час, не следует, что он двигался равномерно. Условие равномерности требует, чтобы за любые равные промежутки времени (например, за каждую минуту или секунду) автомобиль проходил одинаковое расстояние.</p><p><strong>Ответ:</strong> Нет, утверждать, что его движение было равномерным, нельзя.</p>" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1436890" "type" => "task" ] "previous" => array:2 [ "refs" => "1436888" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1208 #items: array:1 [ 0 => App\Models\Book {#1049} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1436597" "type" => "book_page" ] ] #original: array:24 [ "id" => 1436889 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "38" "field_page_end" => null "field_url" => "/9-klass/fizika/shahmaev-uchebnik/07-3" "field_display_title" => "3" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1197} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1198} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1199} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1200} "content" => Illuminate\Database\Eloquent\Collection {#1202} "next" => array:2 [ "refs" => "1436890" "type" => "task" ] "previous" => array:2 [ "refs" => "1436888" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1208} "page" => array:2 [ "refs" => "1436597" "type" => "book_page" ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 1 => App\Models\Task {#1203 #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1436890 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "38" "field_page_end" => null "field_url" => "/9-klass/fizika/shahmaev-uchebnik/07-4" "field_display_title" => "4" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1201 #items: array:1 [ 0 => App\Models\Term {#1036} ] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1210 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1206 #items: array:1 [ 0 => App\Models\Branch {#1117} ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1204 #items: array:2 [ 0 => App\Models\Branch {#1117} 1 => App\Models\Branch {#1121} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1205 #items: array:2 [ 0 => App\Models\Element {#1223 #connection: "mysql" #table: "elements" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:7 [ "id" => 1702311 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1224 …2} "task" => array:2 [ …2] "text" => "<p><strong>4.</strong> Известна средняя скорость за определенный промежуток времени. Можно ли найти перемещение, совершенное за половину этого промежутка?</p>" "img" => array:1 [ …1] ] #original: array:7 [ "id" => 1702311 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1224 …2} "task" => array:2 [ …2] "text" => "<p><strong>4.</strong> Известна средняя скорость за определенный промежуток времени. Можно ли найти перемещение, совершенное за половину этого промежутка?</p>" "img" => array:1 [ …1] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 1 => App\Models\Element {#1225 #connection: "mysql" #table: "elements" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 1732232 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1226 …2} "task" => array:2 [ …2] "text" => "<p>В общем случае, зная только среднюю скорость за определенный промежуток времени, найти перемещение, совершенное за половину этого промежутка, <strong>нельзя</strong>.</p><p>Средняя скорость по определению — это отношение всего перемещения ко всему затраченному времени:</p><p>$v_{ср} = \frac{\Delta x_{общ}}{t_{общ}}$</p><p>Из этой формулы можно найти только общее перемещение за весь промежуток времени $t_{общ}$: $\Delta x_{общ} = v_{ср} \cdot t_{общ}$. Однако эта величина ничего не говорит о том, как тело двигалось в разные моменты времени внутри этого промежутка. Движение могло быть неравномерным, то есть мгновенная скорость тела могла меняться.</p><p>Рассмотрим пример, доказывающий это. Пусть тело движется в течение времени $\text{t}$. Первую половину времени, $t/2$, оно движется со скоростью $v_1$, а вторую половину времени, $t/2$, — со скоростью $v_2$.</p><p>Тогда средняя скорость за все время $\text{t}$ будет:</p><p>$v_{ср} = \frac{\Delta x_1 + \Delta x_2}{t} = \frac{v_1 \frac{t}{2} + v_2 \frac{t}{2}}{t} = \frac{v_1 + v_2}{2}$</p><p>Перемещение за первую половину промежутка времени равно $\Delta x_1 = v_1 \frac{t}{2}$.</p><p>Из формулы для средней скорости мы знаем только сумму скоростей $v_1 + v_2 = 2v_{ср}$, но не каждую скорость в отдельности. Для одной и той же средней скорости $v_{ср}$ могут быть разные комбинации $v_1$ и $v_2$, что приведет к разным перемещениям $\Delta x_1$.</p><p>Например, пусть средняя скорость $v_{ср} = 10$ м/с, а общее время $t = 10$ с.</p><p><em>Случай 1:</em> Движение равномерное. Тогда $v_1 = v_2 = 10$ м/с. Перемещение за первые 5 с составит $\Delta x_1 = 10 \text{ м/с} \cdot 5 \text{ с} = 50$ м.</p><p><em>Случай 2:</em> Движение неравномерное. Пусть тело первые 5 с двигалось со скоростью $v_1 = 5$ м/с, а вторые 5 с — со скоростью $v_2 = 15$ м/с. Средняя скорость останется прежней ($v_{ср} = (5+15)/2 = 10$ м/с), а перемещение за первую половину времени будет $\Delta x_1 = 5 \text{ м/с} \cdot 5 \text{ с} = 25$ м.</p><p>Поскольку для одной и той же средней скорости мы получили разные значения перемещения за первую половину времени, однозначно определить его невозможно.</p><p>Единственный случай, когда это возможно, — это если заранее известно, что движение было <strong>равномерным</strong> (с постоянной скоростью). Тогда мгновенная скорость в любой момент времени равна средней, $v = v_{ср}$, и перемещение за половину промежутка можно найти:</p><p>$\Delta x_{1/2} = v \cdot \frac{t}{2} = v_{ср} \cdot \frac{t}{2} = \frac{\Delta x_{общ}}{2}$</p><p>Так как в условии задачи тип движения не указан, мы должны рассматривать общий случай.</p><p><strong>Ответ:</strong> Нет, в общем случае найти перемещение за половину промежутка времени, зная только среднюю скорость за весь промежуток, невозможно, так как характер движения (зависимость скорости от времени) неизвестен.</p>" ] #original: array:6 [ "id" => 1732232 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1226 …2} "task" => array:2 [ …2] "text" => "<p>В общем случае, зная только среднюю скорость за определенный промежуток времени, найти перемещение, совершенное за половину этого промежутка, <strong>нельзя</strong>.</p><p>Средняя скорость по определению — это отношение всего перемещения ко всему затраченному времени:</p><p>$v_{ср} = \frac{\Delta x_{общ}}{t_{общ}}$</p><p>Из этой формулы можно найти только общее перемещение за весь промежуток времени $t_{общ}$: $\Delta x_{общ} = v_{ср} \cdot t_{общ}$. Однако эта величина ничего не говорит о том, как тело двигалось в разные моменты времени внутри этого промежутка. Движение могло быть неравномерным, то есть мгновенная скорость тела могла меняться.</p><p>Рассмотрим пример, доказывающий это. Пусть тело движется в течение времени $\text{t}$. Первую половину времени, $t/2$, оно движется со скоростью $v_1$, а вторую половину времени, $t/2$, — со скоростью $v_2$.</p><p>Тогда средняя скорость за все время $\text{t}$ будет:</p><p>$v_{ср} = \frac{\Delta x_1 + \Delta x_2}{t} = \frac{v_1 \frac{t}{2} + v_2 \frac{t}{2}}{t} = \frac{v_1 + v_2}{2}$</p><p>Перемещение за первую половину промежутка времени равно $\Delta x_1 = v_1 \frac{t}{2}$.</p><p>Из формулы для средней скорости мы знаем только сумму скоростей $v_1 + v_2 = 2v_{ср}$, но не каждую скорость в отдельности. Для одной и той же средней скорости $v_{ср}$ могут быть разные комбинации $v_1$ и $v_2$, что приведет к разным перемещениям $\Delta x_1$.</p><p>Например, пусть средняя скорость $v_{ср} = 10$ м/с, а общее время $t = 10$ с.</p><p><em>Случай 1:</em> Движение равномерное. Тогда $v_1 = v_2 = 10$ м/с. Перемещение за первые 5 с составит $\Delta x_1 = 10 \text{ м/с} \cdot 5 \text{ с} = 50$ м.</p><p><em>Случай 2:</em> Движение неравномерное. Пусть тело первые 5 с двигалось со скоростью $v_1 = 5$ м/с, а вторые 5 с — со скоростью $v_2 = 15$ м/с. Средняя скорость останется прежней ($v_{ср} = (5+15)/2 = 10$ м/с), а перемещение за первую половину времени будет $\Delta x_1 = 5 \text{ м/с} \cdot 5 \text{ с} = 25$ м.</p><p>Поскольку для одной и той же средней скорости мы получили разные значения перемещения за первую половину времени, однозначно определить его невозможно.</p><p>Единственный случай, когда это возможно, — это если заранее известно, что движение было <strong>равномерным</strong> (с постоянной скоростью). Тогда мгновенная скорость в любой момент времени равна средней, $v = v_{ср}$, и перемещение за половину промежутка можно найти:</p><p>$\Delta x_{1/2} = v \cdot \frac{t}{2} = v_{ср} \cdot \frac{t}{2} = \frac{\Delta x_{общ}}{2}$</p><p>Так как в условии задачи тип движения не указан, мы должны рассматривать общий случай.</p><p><strong>Ответ:</strong> Нет, в общем случае найти перемещение за половину промежутка времени, зная только среднюю скорость за весь промежуток, невозможно, так как характер движения (зависимость скорости от времени) неизвестен.</p>" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1436891" "type" => "task" ] "previous" => array:2 [ "refs" => "1436889" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1220 #items: array:1 [ 0 => App\Models\Book {#1049} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1436597" "type" => "book_page" ] ] #original: array:24 [ "id" => 1436890 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "38" "field_page_end" => null "field_url" => "/9-klass/fizika/shahmaev-uchebnik/07-4" "field_display_title" => "4" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1201} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1210} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1206} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1204} "content" => Illuminate\Database\Eloquent\Collection {#1205} "next" => array:2 [ "refs" => "1436891" "type" => "task" ] "previous" => array:2 [ "refs" => "1436889" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1220} "page" => array:2 [ "refs" => "1436597" "type" => "book_page" ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 2 => App\Models\Task {#1215 #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1436891 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "38" "field_page_end" => null "field_url" => "/9-klass/fizika/shahmaev-uchebnik/07-5" "field_display_title" => "5" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1207 #items: array:1 [ 0 => App\Models\Term {#1036} ] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1222 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1218 #items: array:1 [ 0 => App\Models\Branch {#1117} ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1216 #items: array:2 [ 0 => App\Models\Branch {#1117} 1 => App\Models\Branch {#1121} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1219 #items: array:2 [ 0 => App\Models\Element {#1100} 1 => App\Models\Element {#1092} ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1436892" "type" => "task" ] "previous" => array:2 [ "refs" => "1436890" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1217 #items: array:1 [ 0 => App\Models\Book {#1049} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1436597" "type" => "book_page" ] ] #original: array:24 [ "id" => 1436891 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "38" "field_page_end" => null "field_url" => "/9-klass/fizika/shahmaev-uchebnik/07-5" "field_display_title" => "5" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1207} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1222} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1218} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1216} "content" => Illuminate\Database\Eloquent\Collection {#1219} "next" => array:2 [ "refs" => "1436892" "type" => "task" ] "previous" => array:2 [ "refs" => "1436890" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1217} "page" => array:2 [ "refs" => "1436597" "type" => "book_page" ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 3 => App\Models\Task {#1227 #connection: "mysql" #table: "tasks" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:24 [ "id" => 1436892 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "38" "field_page_end" => null "field_url" => "/9-klass/fizika/shahmaev-uchebnik/07-6" "field_display_title" => "6" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1228 #items: array:1 [ 0 => App\Models\Term {#1036} ] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1229 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1230 #items: array:1 [ 0 => App\Models\Branch {#1117} ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1231 #items: array:2 [ 0 => App\Models\Branch {#1117} 1 => App\Models\Branch {#1121} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1233 #items: array:2 [ 0 => App\Models\Element {#1242 #connection: "mysql" #table: "elements" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:7 [ "id" => 1702313 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1243 …2} "task" => array:2 [ …2] "text" => "<p><strong>*6.</strong> Велосипедист ехал из одного города в другой. Половину пути он ехал со скоростью 5 м/с. Далее половину оставшегося времени он ехал со скоростью 4 м/с, а затем (из-за прокола шины) шел со скоростью 1 м/с. С какой средней скоростью двигался велосипедист на всем пути?</p>" "img" => array:1 [ …1] ] #original: array:7 [ "id" => 1702313 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1243 …2} "task" => array:2 [ …2] "text" => "<p><strong>*6.</strong> Велосипедист ехал из одного города в другой. Половину пути он ехал со скоростью 5 м/с. Далее половину оставшегося времени он ехал со скоростью 4 м/с, а затем (из-за прокола шины) шел со скоростью 1 м/с. С какой средней скоростью двигался велосипедист на всем пути?</p>" "img" => array:1 [ …1] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 1 => App\Models\Element {#1244 #connection: "mysql" #table: "elements" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 1732234 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1245 …2} "task" => array:2 [ …2] "text" => "<p><strong>Дано:</strong></p><p>Скорость на первой половине пути, $v_1 = 5$ м/с.</p><p>Скорость на втором участке (первая половина оставшегося времени), $v_2 = 4$ м/с.</p><p>Скорость на третьем участке (вторая половина оставшегося времени), $v_3 = 1$ м/с.</p><p>Все единицы измерения соответствуют системе СИ.</p><p><strong>Найти:</strong></p><p>Среднюю скорость на всем пути $v_{ср}$.</p><p><strong>Решение:</strong></p><p>Средняя скорость движения определяется как отношение всего пройденного пути ко всему затраченному времени:</p><p>$v_{ср} = \frac{S_{общ}}{t_{общ}}$</p><p>Пусть весь путь, который проехал велосипедист, равен $\text{S}$.</p><p><strong>1.</strong> Первая половина пути.</p><p>Расстояние первого участка $S_1 = \frac{S}{2}$.</p><p>Скорость на этом участке $v_1 = 5$ м/с.</p><p>Время, затраченное на прохождение первого участка: $t_1 = \frac{S_1}{v_1} = \frac{S/2}{5} = \frac{S}{10}$.</p><p><strong>2.</strong> Вторая половина пути.</p><p>Оставшееся расстояние $S_{ост} = S - S_1 = S - \frac{S}{2} = \frac{S}{2}$.</p><p>По условию, оставшееся время движения $t_{ост}$ было разделено на две равные части. Обозначим каждую из этих частей как $t'$. Таким образом, $t_{ост} = 2t'$.</p><p>За первую половину оставшегося времени ($t'$) велосипедист проехал расстояние $S_2 = v_2 \cdot t' = 4t'$.</p><p>За вторую половину оставшегося времени ($t'$) он прошел расстояние $S_3 = v_3 \cdot t' = 1 \cdot t' = t'$.</p><p>Сумма этих двух расстояний составляет вторую половину всего пути:</p><p>$S_2 + S_3 = S_{ост}$</p><p>$4t' + t' = \frac{S}{2}$</p><p>$5t' = \frac{S}{2}$</p><p>Отсюда мы можем выразить $t'$ через $\text{S}$: $t' = \frac{S}{10}$.</p><p>Время, затраченное на вторую половину пути, составляет $t_{ост} = 2t' = 2 \cdot \frac{S}{10} = \frac{S}{5}$.</p><p><strong>3.</strong> Общее время и средняя скорость.</p><p>Общее время движения на всем пути равно сумме времени на первом и втором участках:</p><p>$t_{общ} = t_1 + t_{ост} = \frac{S}{10} + \frac{S}{5} = \frac{S}{10} + \frac{2S}{10} = \frac{3S}{10}$.</p><p>Теперь можем найти среднюю скорость на всем пути:</p><p>$v_{ср} = \frac{S_{общ}}{t_{общ}} = \frac{S}{3S/10} = \frac{10S}{3S} = \frac{10}{3}$ м/с.</p><p>Приблизительное значение в виде десятичной дроби: $v_{ср} \approx 3.33$ м/с.</p><p><strong>Ответ:</strong> средняя скорость велосипедиста на всем пути равна $\frac{10}{3}$ м/с, что примерно составляет $3.33$ м/с.</p>" ] #original: array:6 [ "id" => 1732234 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1245 …2} "task" => array:2 [ …2] "text" => "<p><strong>Дано:</strong></p><p>Скорость на первой половине пути, $v_1 = 5$ м/с.</p><p>Скорость на втором участке (первая половина оставшегося времени), $v_2 = 4$ м/с.</p><p>Скорость на третьем участке (вторая половина оставшегося времени), $v_3 = 1$ м/с.</p><p>Все единицы измерения соответствуют системе СИ.</p><p><strong>Найти:</strong></p><p>Среднюю скорость на всем пути $v_{ср}$.</p><p><strong>Решение:</strong></p><p>Средняя скорость движения определяется как отношение всего пройденного пути ко всему затраченному времени:</p><p>$v_{ср} = \frac{S_{общ}}{t_{общ}}$</p><p>Пусть весь путь, который проехал велосипедист, равен $\text{S}$.</p><p><strong>1.</strong> Первая половина пути.</p><p>Расстояние первого участка $S_1 = \frac{S}{2}$.</p><p>Скорость на этом участке $v_1 = 5$ м/с.</p><p>Время, затраченное на прохождение первого участка: $t_1 = \frac{S_1}{v_1} = \frac{S/2}{5} = \frac{S}{10}$.</p><p><strong>2.</strong> Вторая половина пути.</p><p>Оставшееся расстояние $S_{ост} = S - S_1 = S - \frac{S}{2} = \frac{S}{2}$.</p><p>По условию, оставшееся время движения $t_{ост}$ было разделено на две равные части. Обозначим каждую из этих частей как $t'$. Таким образом, $t_{ост} = 2t'$.</p><p>За первую половину оставшегося времени ($t'$) велосипедист проехал расстояние $S_2 = v_2 \cdot t' = 4t'$.</p><p>За вторую половину оставшегося времени ($t'$) он прошел расстояние $S_3 = v_3 \cdot t' = 1 \cdot t' = t'$.</p><p>Сумма этих двух расстояний составляет вторую половину всего пути:</p><p>$S_2 + S_3 = S_{ост}$</p><p>$4t' + t' = \frac{S}{2}$</p><p>$5t' = \frac{S}{2}$</p><p>Отсюда мы можем выразить $t'$ через $\text{S}$: $t' = \frac{S}{10}$.</p><p>Время, затраченное на вторую половину пути, составляет $t_{ост} = 2t' = 2 \cdot \frac{S}{10} = \frac{S}{5}$.</p><p><strong>3.</strong> Общее время и средняя скорость.</p><p>Общее время движения на всем пути равно сумме времени на первом и втором участках:</p><p>$t_{общ} = t_1 + t_{ост} = \frac{S}{10} + \frac{S}{5} = \frac{S}{10} + \frac{2S}{10} = \frac{3S}{10}$.</p><p>Теперь можем найти среднюю скорость на всем пути:</p><p>$v_{ср} = \frac{S_{общ}}{t_{общ}} = \frac{S}{3S/10} = \frac{10S}{3S} = \frac{10}{3}$ м/с.</p><p>Приблизительное значение в виде десятичной дроби: $v_{ср} \approx 3.33$ м/с.</p><p><strong>Ответ:</strong> средняя скорость велосипедиста на всем пути равна $\frac{10}{3}$ м/с, что примерно составляет $3.33$ м/с.</p>" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1436893" "type" => "task" ] "previous" => array:2 [ "refs" => "1436891" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1239 #items: array:1 [ 0 => App\Models\Book {#1049} ] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1436597" "type" => "book_page" ] ] #original: array:24 [ "id" => 1436892 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "38" "field_page_end" => null "field_url" => "/9-klass/fizika/shahmaev-uchebnik/07-6" "field_display_title" => "6" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1228} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1229} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1230} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1231} "content" => Illuminate\Database\Eloquent\Collection {#1233} "next" => array:2 [ "refs" => "1436893" "type" => "task" ] "previous" => array:2 [ "refs" => "1436891" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1239} "page" => array:2 [ "refs" => "1436597" "type" => "book_page" ] ] #changes: [] #casts: [] #classCastCache: [] 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№5 (с. 38)
Условие. №5 (с. 38)
скриншот условия
*5. Трамвай проехал первые 100 м со скоростью 5 м/с, а следующие 600 м — со скоростью 10 м/с. Определите среднюю скорость трамвая на всем пути.
Решение. №5 (с. 38)
Дано:
$s_1 = 100$ м
$v_1 = 5$ м/с
$s_2 = 600$ м
$v_2 = 10$ м/с
Все данные представлены в системе СИ.
Найти:
$v_{ср}$
Решение:
Средняя скорость движения вычисляется как отношение всего пройденного пути ко всему времени, затраченному на этот путь. Формула для средней скорости:
$v_{ср} = \frac{S_{общ}}{t_{общ}}$
где $S_{общ}$ — это общий путь, а $t_{общ}$ — общее время движения.
1. Найдем общий путь, который проехал трамвай. Он равен сумме длин двух участков:
$S_{общ} = s_1 + s_2 = 100 \text{ м} + 600 \text{ м} = 700 \text{ м}$
2. Найдем общее время движения. Оно равно сумме времени движения на первом и втором участках ($t_1$ и $t_2$).
$t_{общ} = t_1 + t_2$
Время движения на каждом участке найдем по формуле $t = \frac{s}{v}$:
Время на первом участке:
$t_1 = \frac{s_1}{v_1} = \frac{100 \text{ м}}{5 \text{ м/с}} = 20 \text{ с}$
Время на втором участке:
$t_2 = \frac{s_2}{v_2} = \frac{600 \text{ м}}{10 \text{ м/с}} = 60 \text{ с}$
Теперь вычислим общее время:
$t_{общ} = 20 \text{ с} + 60 \text{ с} = 80 \text{ с}$
3. Теперь мы можем определить среднюю скорость трамвая на всем пути, подставив найденные значения в основную формулу:
$v_{ср} = \frac{S_{общ}}{t_{общ}} = \frac{700 \text{ м}}{80 \text{ с}} = 8.75 \text{ м/с}$
Ответ: средняя скорость трамвая на всем пути составляет 8,75 м/с.
Другие задания:
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