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Вариант 4, страница 63 - гдз по физике 9 класс дидактические материалы Марон, Марон
Авторы: Марон А. Е., Марон Е. А.
Тип: Дидактические материалы
Издательство: Просвещение
Год издания: 2022 - 2026
Уровень обучения: базовый
Цвет обложки: белый изображена башня
ISBN: 978-5-09-111414-0
Популярные ГДЗ в 9 классе
Самостоятельные работы. СР-4. Прямолинейное равноускоренное движение - страница 63.
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" => 1428603 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "63" "field_page_end" => null "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy/cp04-4" "field_display_title" => "Вариант 4" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1036 #items: [] #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 {#1034 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1073 #items: array:1 [ 0 => App\Models\Branch {#1035 #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" => 1428174 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Самостоятельные работы" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1038 #items: [] #escapeWhenCastingToString: false } "field_page_start" => "53" "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 {#1037 #items: array:1 [ 0 => App\Models\Book {#1039 #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" => 894 "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 {#1040 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_class" => Illuminate\Database\Eloquent\Collection {#1042 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_publisher" => Illuminate\Database\Eloquent\Collection {#1044 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_author" => Illuminate\Database\Eloquent\Collection {#1046 #items: array:2 [ …2] #escapeWhenCastingToString: false } "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1049 #items: [] #escapeWhenCastingToString: false } "field_book_type" => Illuminate\Database\Eloquent\Collection {#1050 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_country" => Illuminate\Database\Eloquent\Collection {#1052 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_city" => Illuminate\Database\Eloquent\Collection {#1054 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_series" => Illuminate\Database\Eloquent\Collection {#1056 #items: [] #escapeWhenCastingToString: false } "field_umk" => Illuminate\Database\Eloquent\Collection {#1057 #items: [] #escapeWhenCastingToString: false } "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1058 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1060 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_publication_number" => "3" "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1062 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1064 #items: [] #escapeWhenCastingToString: false } "field_under_the_edition_degree" => null "field_cover_description" => "изображена башня" "field_publication_year" => "2022" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебное пособие" "field_allowed" => null "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "674" "field_priority" => null "field_default_folder" => "/fizika_09/maron-dm/" "field_isbn" => "978-5-09-111414-0" "field_cover" => array:1 [ 0 => "/media/fizika_09/maron-dm/covers/cover1.webp?ts=1758533880" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ …4] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1065 #items: [] #escapeWhenCastingToString: false } "field_new_book" => Illuminate\Database\Eloquent\Collection {#1066 #items: [] #escapeWhenCastingToString: false } "field_old_book" => Illuminate\Database\Eloquent\Collection {#1067 #items: [] #escapeWhenCastingToString: false } "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1068 #items: array:1 [ …1] #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" => 894 "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 {#1040} "field_class" => Illuminate\Database\Eloquent\Collection {#1042} "field_publisher" => Illuminate\Database\Eloquent\Collection {#1044} "field_author" => Illuminate\Database\Eloquent\Collection {#1046} "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1049} "field_book_type" => Illuminate\Database\Eloquent\Collection {#1050} "field_country" => Illuminate\Database\Eloquent\Collection {#1052} "field_city" => Illuminate\Database\Eloquent\Collection {#1054} "field_series" => Illuminate\Database\Eloquent\Collection {#1056} "field_umk" => Illuminate\Database\Eloquent\Collection {#1057} "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1058} "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1060} "field_publication_number" => "3" "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1062} "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1064} "field_under_the_edition_degree" => null "field_cover_description" => "изображена башня" "field_publication_year" => "2022" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебное пособие" "field_allowed" => null "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "674" "field_priority" => null "field_default_folder" => "/fizika_09/maron-dm/" "field_isbn" => "978-5-09-111414-0" "field_cover" => array:1 [ 0 => "/media/fizika_09/maron-dm/covers/cover1.webp?ts=1758533880" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ …4] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1065} "field_new_book" => Illuminate\Database\Eloquent\Collection {#1066} "field_old_book" => Illuminate\Database\Eloquent\Collection {#1067} "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1068} "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 {#1070 #items: [] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1428174 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Самостоятельные работы" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1038} "field_page_start" => "53" "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 {#1037} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1070} ] #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 {#1146 #items: array:2 [ 0 => App\Models\Branch {#1071 #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" => 1428174 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Самостоятельные работы" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1074 #items: [] #escapeWhenCastingToString: false } "field_page_start" => "53" "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 {#1072 #items: array:1 [ 0 => App\Models\Book {#1075 #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" => 894 "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 {#1076 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_class" => Illuminate\Database\Eloquent\Collection {#1078 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_publisher" => Illuminate\Database\Eloquent\Collection {#1080 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_author" => Illuminate\Database\Eloquent\Collection {#1082 #items: array:2 [ …2] #escapeWhenCastingToString: false } "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1085 #items: [] #escapeWhenCastingToString: false } "field_book_type" => Illuminate\Database\Eloquent\Collection {#1086 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_country" => Illuminate\Database\Eloquent\Collection {#1088 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_city" => Illuminate\Database\Eloquent\Collection {#1090 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_series" => Illuminate\Database\Eloquent\Collection {#1092 #items: [] #escapeWhenCastingToString: false } "field_umk" => Illuminate\Database\Eloquent\Collection {#1093 #items: [] #escapeWhenCastingToString: false } "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1094 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1096 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_publication_number" => "3" "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1098 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1100 #items: [] #escapeWhenCastingToString: false } "field_under_the_edition_degree" => null "field_cover_description" => "изображена башня" "field_publication_year" => "2022" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебное пособие" "field_allowed" => null "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "674" "field_priority" => null "field_default_folder" => "/fizika_09/maron-dm/" "field_isbn" => "978-5-09-111414-0" "field_cover" => array:1 [ 0 => "/media/fizika_09/maron-dm/covers/cover1.webp?ts=1758533880" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ …4] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1101 #items: [] #escapeWhenCastingToString: false } "field_new_book" => Illuminate\Database\Eloquent\Collection {#1102 #items: [] #escapeWhenCastingToString: false } "field_old_book" => Illuminate\Database\Eloquent\Collection {#1103 #items: [] #escapeWhenCastingToString: false } "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1104 #items: array:1 [ …1] #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" => 894 "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 {#1076} "field_class" => Illuminate\Database\Eloquent\Collection {#1078} "field_publisher" => Illuminate\Database\Eloquent\Collection {#1080} "field_author" => Illuminate\Database\Eloquent\Collection {#1082} "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1085} "field_book_type" => Illuminate\Database\Eloquent\Collection {#1086} "field_country" => Illuminate\Database\Eloquent\Collection {#1088} "field_city" => Illuminate\Database\Eloquent\Collection {#1090} "field_series" => Illuminate\Database\Eloquent\Collection {#1092} "field_umk" => Illuminate\Database\Eloquent\Collection {#1093} "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1094} "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1096} "field_publication_number" => "3" "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1098} "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1100} "field_under_the_edition_degree" => null "field_cover_description" => "изображена башня" "field_publication_year" => "2022" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебное пособие" "field_allowed" => null "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "674" "field_priority" => null "field_default_folder" => "/fizika_09/maron-dm/" "field_isbn" => "978-5-09-111414-0" "field_cover" => array:1 [ 0 => "/media/fizika_09/maron-dm/covers/cover1.webp?ts=1758533880" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ …4] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1101} "field_new_book" => Illuminate\Database\Eloquent\Collection {#1102} "field_old_book" => Illuminate\Database\Eloquent\Collection {#1103} "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1104} "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 {#1106 #items: [] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1428174 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Самостоятельные работы" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1074} "field_page_start" => "53" "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 {#1072} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1106} ] #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 {#1107 #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" => 1428178 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "СР-4. Прямолинейное равноускоренное движение" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1108 #items: [] #escapeWhenCastingToString: false } "field_page_start" => "62" "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 {#1109 #items: array:1 [ 0 => App\Models\Book {#1110 #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" => 894 "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 {#1111 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_class" => Illuminate\Database\Eloquent\Collection {#1113 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_publisher" => Illuminate\Database\Eloquent\Collection {#1115 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_author" => Illuminate\Database\Eloquent\Collection {#1117 #items: array:2 [ …2] #escapeWhenCastingToString: false } "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1120 #items: [] #escapeWhenCastingToString: false } "field_book_type" => Illuminate\Database\Eloquent\Collection {#1121 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_country" => Illuminate\Database\Eloquent\Collection {#1123 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_city" => Illuminate\Database\Eloquent\Collection {#1125 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_series" => Illuminate\Database\Eloquent\Collection {#1127 #items: [] #escapeWhenCastingToString: false } "field_umk" => Illuminate\Database\Eloquent\Collection {#1128 #items: [] #escapeWhenCastingToString: false } "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1129 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1131 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_publication_number" => "3" "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1133 #items: array:1 [ …1] #escapeWhenCastingToString: false } "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1135 #items: [] #escapeWhenCastingToString: false } 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"field_isbn" => "978-5-09-111414-0" "field_cover" => array:1 [ …1] "field_cover_alts" => array:1 [ …1] "field_covers" => array:1 [ …1] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1136} "field_new_book" => Illuminate\Database\Eloquent\Collection {#1137 …1} "field_old_book" => Illuminate\Database\Eloquent\Collection {#1138 …2} "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1139 …2} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "breadcrumbs" => array:3 [ …3] ] #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 {#1141 #items: array:1 [ 0 => App\Models\Branch {#1142 #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" => 1428174 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "Самостоятельные работы" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1143 …2} "field_page_start" => "53" "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 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"field_branch_covers" => [] "book" => Illuminate\Database\Eloquent\Collection {#1144 …2} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1145 …2} ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1428178 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "СР-4. Прямолинейное равноускоренное движение" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1108} "field_page_start" => "62" "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 {#1109} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1141} ] #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 {#1147 #items: array:2 [ 0 => App\Models\Element {#1157 #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" => 1682918 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1166 #items: array:1 [ 0 => App\Models\Edition {#1158 #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" => 5992 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие" "field_order" => "1" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1160 …2} "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 {#1161 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1162 …2} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1163 …2} "field_content_source" => null ] #original: array:21 [ "id" => 5992 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие" "field_order" => "1" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1160 …2} "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 {#1161 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1162 …2} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1163 …2} "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" => "1428603" "type" => "task" ] "text" => "<p><strong>1.</strong> Какую скорость будет иметь тело через 20 с после начала движения, если оно движется с ускорением $0,3 \text{ м/с}^2$?</p><p><strong>2.</strong> Троллейбус двигался со скоростью $18 \text{ км/ч}$ и, затормозив, остановился через 4 с. Определите ускорение и тормозной путь троллейбуса.</p>" "img" => array:1 [ 0 => array:5 [ "name" => "4-1.jpg" "alt" => null "width" => "1457" "height" => 371 "path" => "/media/fizika_09/maron-dm/0-cp04/4-1.webp?ts=1758964220" ] ] ] #original: array:7 [ "id" => 1682918 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1166} "task" => array:2 [ "refs" => "1428603" "type" => "task" ] "text" => "<p><strong>1.</strong> Какую скорость будет иметь тело через 20 с после начала движения, если оно движется с ускорением $0,3 \text{ м/с}^2$?</p><p><strong>2.</strong> Троллейбус двигался со скоростью $18 \text{ км/ч}$ и, затормозив, остановился через 4 с. Определите ускорение и тормозной путь троллейбуса.</p>" "img" => array:1 [ 0 => array:5 [ "name" => "4-1.jpg" "alt" => null "width" => "1457" "height" => 371 "path" => "/media/fizika_09/maron-dm/0-cp04/4-1.webp?ts=1758964220" ] ] ] #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 {#1164 #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" => 1730620 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1174 #items: array:1 [ 0 => App\Models\Edition {#1165 #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" => 6313 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение" "field_order" => "2" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1168 …2} "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 {#1169 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1170 …2} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1171 …2} "field_content_source" => null ] #original: array:21 [ "id" => 6313 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение" "field_order" => "2" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1168 …2} "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 {#1169 …2} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1170 …2} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1171 …2} "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" => "1428603" "type" => "task" ] "text" => "<p><strong>1.</strong> Какую скорость будет иметь тело через 20 с после начала движения, если оно движется с ускорением 0,3 м/с²?</p><p><strong>Дано:</strong></p><p>Время движения: $t = 20 \text{ с}$</p><p>Ускорение: $a = 0,3 \text{ м/с}^2$</p><p>Начальная скорость: $v_0 = 0 \text{ м/с}$ (так как тело начинает движение)</p><p><strong>Найти:</strong></p><p>Конечную скорость: $\text{v}$ - ?</p><p><strong>Решение:</strong></p><p>Для нахождения скорости тела при равноускоренном движении воспользуемся формулой:</p><p>$v = v_0 + at$</p><p>Поскольку тело начинает движение из состояния покоя, его начальная скорость $v_0$ равна нулю. Подставим известные значения в формулу:</p><p>$v = 0 + 0,3 \text{ м/с}^2 \cdot 20 \text{ с} = 6 \text{ м/с}$</p><p><strong>Ответ:</strong> через 20 с после начала движения тело будет иметь скорость 6 м/с.</p><p><strong>2.</strong> Троллейбус двигался со скоростью 18 км/ч и, затормозив, остановился через 4 с. Определите ускорение и тормозной путь троллейбуса.</p><p><strong>Дано:</strong></p><p>Начальная скорость: $v_0 = 18 \text{ км/ч}$</p><p>Конечная скорость: $v = 0 \text{ м/с}$ (троллейбус остановился)</p><p>Время торможения: $t = 4 \text{ с}$</p><p>Перевод в систему СИ:</p><p>Для перевода скорости из км/ч в м/с используем соотношение $1 \text{ км/ч} = \frac{1000 \text{ м}}{3600 \text{ с}} = \frac{1}{3,6} \text{ м/с}$.</p><p>$v_0 = 18 \text{ км/ч} = \frac{18}{3,6} \text{ м/с} = 5 \text{ м/с}$</p><p><strong>Найти:</strong></p><p>Ускорение: $\text{a}$ - ?</p><p>Тормозной путь: $\text{s}$ - ?</p><p><strong>Решение:</strong></p><p><strong>1.</strong> Ускорение троллейбуса можно найти из формулы скорости при равноускоренном движении:</p><p>$v = v_0 + at$</p><p>Выразим из этой формулы ускорение $\text{a}$:</p><p>$a = \frac{v - v_0}{t}$</p><p>Подставим числовые значения:</p><p>$a = \frac{0 \text{ м/с} - 5 \text{ м/с}}{4 \text{ с}} = -1,25 \text{ м/с}^2$</p><p>Знак "минус" означает, что вектор ускорения направлен в сторону, противоположную вектору начальной скорости, то есть движение является равнозамедленным (торможение).</p><p><strong>2.</strong> Тормозной путь $\text{s}$ можно вычислить по формуле:</p><p>$s = v_0 t + \frac{at^2}{2}$</p><p>Подставим значения:</p><p>$s = 5 \text{ м/с} \cdot 4 \text{ с} + \frac{(-1,25 \text{ м/с}^2) \cdot (4 \text{ с})^2}{2} = 20 \text{ м} + \frac{-1,25 \cdot 16}{2} \text{ м} = 20 \text{ м} - 10 \text{ м} = 10 \text{ м}$</p><p>Также можно использовать другую формулу для нахождения пути, которая не включает время:</p><p>$s = \frac{v^2 - v_0^2}{2a}$</p><p>$s = \frac{(0 \text{ м/с})^2 - (5 \text{ м/с})^2}{2 \cdot (-1,25 \text{ м/с}^2)} = \frac{-25 \text{ м}^2/\text{с}^2}{-2,5 \text{ м/с}^2} = 10 \text{ м}$</p><p><strong>Ответ:</strong> ускорение троллейбуса -1,25 м/с², тормозной путь 10 м.</p>" ] #original: array:6 [ "id" => 1730620 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1174} "task" => array:2 [ "refs" => "1428603" "type" => "task" ] "text" => "<p><strong>1.</strong> Какую скорость будет иметь тело через 20 с после начала движения, если оно движется с ускорением 0,3 м/с²?</p><p><strong>Дано:</strong></p><p>Время движения: $t = 20 \text{ с}$</p><p>Ускорение: $a = 0,3 \text{ м/с}^2$</p><p>Начальная скорость: $v_0 = 0 \text{ м/с}$ (так как тело начинает движение)</p><p><strong>Найти:</strong></p><p>Конечную скорость: $\text{v}$ - ?</p><p><strong>Решение:</strong></p><p>Для нахождения скорости тела при равноускоренном движении воспользуемся формулой:</p><p>$v = v_0 + at$</p><p>Поскольку тело начинает движение из состояния покоя, его начальная скорость $v_0$ равна нулю. Подставим известные значения в формулу:</p><p>$v = 0 + 0,3 \text{ м/с}^2 \cdot 20 \text{ с} = 6 \text{ м/с}$</p><p><strong>Ответ:</strong> через 20 с после начала движения тело будет иметь скорость 6 м/с.</p><p><strong>2.</strong> Троллейбус двигался со скоростью 18 км/ч и, затормозив, остановился через 4 с. Определите ускорение и тормозной путь троллейбуса.</p><p><strong>Дано:</strong></p><p>Начальная скорость: $v_0 = 18 \text{ км/ч}$</p><p>Конечная скорость: $v = 0 \text{ м/с}$ (троллейбус остановился)</p><p>Время торможения: $t = 4 \text{ с}$</p><p>Перевод в систему СИ:</p><p>Для перевода скорости из км/ч в м/с используем соотношение $1 \text{ км/ч} = \frac{1000 \text{ м}}{3600 \text{ с}} = \frac{1}{3,6} \text{ м/с}$.</p><p>$v_0 = 18 \text{ км/ч} = \frac{18}{3,6} \text{ м/с} = 5 \text{ м/с}$</p><p><strong>Найти:</strong></p><p>Ускорение: $\text{a}$ - ?</p><p>Тормозной путь: $\text{s}$ - ?</p><p><strong>Решение:</strong></p><p><strong>1.</strong> Ускорение троллейбуса можно найти из формулы скорости при равноускоренном движении:</p><p>$v = v_0 + at$</p><p>Выразим из этой формулы ускорение $\text{a}$:</p><p>$a = \frac{v - v_0}{t}$</p><p>Подставим числовые значения:</p><p>$a = \frac{0 \text{ м/с} - 5 \text{ м/с}}{4 \text{ с}} = -1,25 \text{ м/с}^2$</p><p>Знак "минус" означает, что вектор ускорения направлен в сторону, противоположную вектору начальной скорости, то есть движение является равнозамедленным (торможение).</p><p><strong>2.</strong> Тормозной путь $\text{s}$ можно вычислить по формуле:</p><p>$s = v_0 t + \frac{at^2}{2}$</p><p>Подставим значения:</p><p>$s = 5 \text{ м/с} \cdot 4 \text{ с} + \frac{(-1,25 \text{ м/с}^2) \cdot (4 \text{ с})^2}{2} = 20 \text{ м} + \frac{-1,25 \cdot 16}{2} \text{ м} = 20 \text{ м} - 10 \text{ м} = 10 \text{ м}$</p><p>Также можно использовать другую формулу для нахождения пути, которая не включает время:</p><p>$s = \frac{v^2 - v_0^2}{2a}$</p><p>$s = \frac{(0 \text{ м/с})^2 - (5 \text{ м/с})^2}{2 \cdot (-1,25 \text{ м/с}^2)} = \frac{-25 \text{ м}^2/\text{с}^2}{-2,5 \text{ м/с}^2} = 10 \text{ м}$</p><p><strong>Ответ:</strong> ускорение троллейбуса -1,25 м/с², тормозной путь 10 м.</p>" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: 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#withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 34 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "переработанное" "field_cases" => array:6 [ …6] "field_translit" => "pererabotannoe" ] #original: array:6 [ "id" => 34 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "переработанное" "field_cases" => array:6 [ …6] "field_translit" => "pererabotannoe" ] #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 {#1190 #items: [] #escapeWhenCastingToString: false } "field_under_the_edition_degree" => null "field_cover_description" => "изображена башня" "field_publication_year" => "2022" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебное пособие" "field_allowed" => null "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "674" "field_priority" => null "field_default_folder" => "/fizika_09/maron-dm/" "field_isbn" => "978-5-09-111414-0" "field_cover" => array:1 [ 0 => "/media/fizika_09/maron-dm/covers/cover1.webp?ts=1758533880" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/fizika_09/maron-dm/covers/cover1.webp?ts=1758533880" "alt" => "" "width" => "1888" "height" => "2427" ] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1191 #items: [] #escapeWhenCastingToString: false } "field_new_book" => Illuminate\Database\Eloquent\Collection {#1192 #items: [] #escapeWhenCastingToString: false } "field_old_book" => Illuminate\Database\Eloquent\Collection {#1193 #items: [] #escapeWhenCastingToString: false } "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1194 #items: array:1 [ 0 => App\Models\Term {#1195 #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" => 45 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "белый" "field_cases" => array:6 [ …6] "field_translit" => "belyy" ] #original: array:6 [ "id" => 45 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "белый" "field_cases" => array:6 [ …6] "field_translit" => "belyy" ] #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" => 894 "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 {#1148} "field_class" => Illuminate\Database\Eloquent\Collection {#1156} "field_publisher" => Illuminate\Database\Eloquent\Collection {#1150} "field_author" => Illuminate\Database\Eloquent\Collection {#1151} "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1175} "field_book_type" => Illuminate\Database\Eloquent\Collection {#1176} "field_country" => Illuminate\Database\Eloquent\Collection {#1178} "field_city" => Illuminate\Database\Eloquent\Collection {#1180} "field_series" => Illuminate\Database\Eloquent\Collection {#1182} "field_umk" => Illuminate\Database\Eloquent\Collection {#1183} "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1184} "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1186} "field_publication_number" => "3" "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1188} "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1190} "field_under_the_edition_degree" => null "field_cover_description" => "изображена башня" "field_publication_year" => "2022" "field_publication_year_until" => null "field_part" => "" "field_part_writing" => "" "field_second_foreign_language" => null "field_for_whom" => "Учебное пособие" "field_allowed" => null "field_reserve_field" => null "field_link_to_source" => null "field_tasks_count" => "674" "field_priority" => null "field_default_folder" => "/fizika_09/maron-dm/" "field_isbn" => "978-5-09-111414-0" "field_cover" => array:1 [ 0 => "/media/fizika_09/maron-dm/covers/cover1.webp?ts=1758533880" ] "field_cover_alts" => array:1 [ 0 => "" ] "field_covers" => array:1 [ 0 => array:4 [ "path" => "/media/fizika_09/maron-dm/covers/cover1.webp?ts=1758533880" "alt" => "" "width" => "1888" "height" => "2427" ] ] "field_popular_book" => "0" "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1191} "field_new_book" => Illuminate\Database\Eloquent\Collection {#1192} "field_old_book" => Illuminate\Database\Eloquent\Collection {#1193} "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1194} "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 } "page" => Illuminate\Database\Eloquent\Collection {#1212 #items: array:1 [ 0 => App\Models\BookPage {#1211 #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" => 1428954 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "63" "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy/page-63" "field_display_title" => "63" "field_folder" => "1" "field_image_name" => "63" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1213 #items: [] #escapeWhenCastingToString: false } "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1214 #items: array:1 [ 0 => App\Models\Book {#1154} ] #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 {#1215 #items: [] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1225 #items: array:1 [ 0 => App\Models\Element {#1224 #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" => 1683621 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1226 …2} "book_page" => array:2 [ …2] "img" => array:1 [ …1] ] #original: array:6 [ "id" => 1683621 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1226 …2} "book_page" => array:2 [ …2] "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 => "*" ] } ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1428955" "type" => "book_page" ] "previous" => array:2 [ "refs" => "1428953" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#1384 #items: array:5 [ 0 => App\Models\Task {#1396 #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" => 1428603 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "63" "field_page_end" => null "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy/cp04-4" "field_display_title" => "Вариант 4" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1397 …2} "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 {#1398 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1399 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1400 …2} "content" => Illuminate\Database\Eloquent\Collection {#1401 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1402 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1428603 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "63" "field_page_end" => null "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy/cp04-4" "field_display_title" => "Вариант 4" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1397 …2} "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 {#1398 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1399 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1400 …2} "content" => Illuminate\Database\Eloquent\Collection {#1401 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1402 …2} "page" => array:2 [ …2] ] #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 {#1403 #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" => 1428604 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "63" "field_page_end" => null "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy/cp04-5" "field_display_title" => "Вариант 5" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1404 …2} "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 {#1405 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1406 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1407 …2} "content" => Illuminate\Database\Eloquent\Collection {#1409 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1415 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1428604 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "63" "field_page_end" => null "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy/cp04-5" "field_display_title" => "Вариант 5" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1404 …2} "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 {#1405 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1406 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1407 …2} "content" => Illuminate\Database\Eloquent\Collection {#1409 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1415 …2} "page" => array:2 [ …2] ] #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 {#1410 #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" => 1428605 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "63" "field_page_end" => null "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy/cp04-6" "field_display_title" => "Вариант 6" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1408 …2} "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 {#1417 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1413 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1411 …2} "content" => Illuminate\Database\Eloquent\Collection {#1412 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1427 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1428605 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "63" "field_page_end" => null "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy/cp04-6" "field_display_title" => "Вариант 6" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1408 …2} "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 {#1417 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1413 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1411 …2} "content" => Illuminate\Database\Eloquent\Collection {#1412 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1427 …2} "page" => array:2 [ …2] ] #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 {#1422 #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" => 1428606 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "63" "field_page_end" => null "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy/cp04-7" "field_display_title" => "Вариант 7" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1414 …2} "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 {#1429 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1425 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1423 …2} "content" => Illuminate\Database\Eloquent\Collection {#1424 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1439 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1428606 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "63" "field_page_end" => null "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy/cp04-7" "field_display_title" => "Вариант 7" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1414 …2} "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 {#1429 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1425 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1423 …2} "content" => Illuminate\Database\Eloquent\Collection {#1424 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1439 …2} "page" => array:2 [ …2] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 4 => App\Models\Task {#1434 #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" => 1428607 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "63" "field_page_end" => null "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy/cp04-8" "field_display_title" => "Вариант 8" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1426 …2} "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 {#1441 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1437 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1435 …2} "content" => Illuminate\Database\Eloquent\Collection {#1436 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1451 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1428607 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "63" "field_page_end" => null "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy/cp04-8" "field_display_title" => "Вариант 8" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1426 …2} "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 {#1441 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1437 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1435 …2} "content" => Illuminate\Database\Eloquent\Collection {#1436 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1451 …2} "page" => array:2 [ …2] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } ] #original: array:21 [ "id" => 1428954 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "63" "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy/page-63" "field_display_title" => "63" "field_folder" => "1" "field_image_name" => "63" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1213} "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1214} "field_metatags_title" => null 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Вариант 4 (с. 63)
Условие. Вариант 4 (с. 63)
скриншот условия
1. Какую скорость будет иметь тело через 20 с после начала движения, если оно движется с ускорением $0,3 \text{ м/с}^2$?
2. Троллейбус двигался со скоростью $18 \text{ км/ч}$ и, затормозив, остановился через 4 с. Определите ускорение и тормозной путь троллейбуса.
Решение. Вариант 4 (с. 63)
1. Какую скорость будет иметь тело через 20 с после начала движения, если оно движется с ускорением 0,3 м/с²?
Дано:
Время движения: $t = 20 \text{ с}$
Ускорение: $a = 0,3 \text{ м/с}^2$
Начальная скорость: $v_0 = 0 \text{ м/с}$ (так как тело начинает движение)
Найти:
Конечную скорость: $\text{v}$ - ?
Решение:
Для нахождения скорости тела при равноускоренном движении воспользуемся формулой:
$v = v_0 + at$
Поскольку тело начинает движение из состояния покоя, его начальная скорость $v_0$ равна нулю. Подставим известные значения в формулу:
$v = 0 + 0,3 \text{ м/с}^2 \cdot 20 \text{ с} = 6 \text{ м/с}$
Ответ: через 20 с после начала движения тело будет иметь скорость 6 м/с.
2. Троллейбус двигался со скоростью 18 км/ч и, затормозив, остановился через 4 с. Определите ускорение и тормозной путь троллейбуса.
Дано:
Начальная скорость: $v_0 = 18 \text{ км/ч}$
Конечная скорость: $v = 0 \text{ м/с}$ (троллейбус остановился)
Время торможения: $t = 4 \text{ с}$
Перевод в систему СИ:
Для перевода скорости из км/ч в м/с используем соотношение $1 \text{ км/ч} = \frac{1000 \text{ м}}{3600 \text{ с}} = \frac{1}{3,6} \text{ м/с}$.
$v_0 = 18 \text{ км/ч} = \frac{18}{3,6} \text{ м/с} = 5 \text{ м/с}$
Найти:
Ускорение: $\text{a}$ - ?
Тормозной путь: $\text{s}$ - ?
Решение:
1. Ускорение троллейбуса можно найти из формулы скорости при равноускоренном движении:
$v = v_0 + at$
Выразим из этой формулы ускорение $\text{a}$:
$a = \frac{v - v_0}{t}$
Подставим числовые значения:
$a = \frac{0 \text{ м/с} - 5 \text{ м/с}}{4 \text{ с}} = -1,25 \text{ м/с}^2$
Знак "минус" означает, что вектор ускорения направлен в сторону, противоположную вектору начальной скорости, то есть движение является равнозамедленным (торможение).
2. Тормозной путь $\text{s}$ можно вычислить по формуле:
$s = v_0 t + \frac{at^2}{2}$
Подставим значения:
$s = 5 \text{ м/с} \cdot 4 \text{ с} + \frac{(-1,25 \text{ м/с}^2) \cdot (4 \text{ с})^2}{2} = 20 \text{ м} + \frac{-1,25 \cdot 16}{2} \text{ м} = 20 \text{ м} - 10 \text{ м} = 10 \text{ м}$
Также можно использовать другую формулу для нахождения пути, которая не включает время:
$s = \frac{v^2 - v_0^2}{2a}$
$s = \frac{(0 \text{ м/с})^2 - (5 \text{ м/с})^2}{2 \cdot (-1,25 \text{ м/с}^2)} = \frac{-25 \text{ м}^2/\text{с}^2}{-2,5 \text{ м/с}^2} = 10 \text{ м}$
Ответ: ускорение троллейбуса -1,25 м/с², тормозной путь 10 м.
Другие задания:
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