Номер 3, страница 40 - гдз по физике 9 класс учебник Шахмаев, Бунчук

Физика, 9 класс Учебник, авторы: Шахмаев Николай Михайлович, Бунчук Алексей Васильевич, издательство Мнемозина, Москва, 2007, голубого цвета

Авторы: Шахмаев Н. М., Бунчук А. В.

Тип: Учебник

Издательство: Мнемозина

Год издания: 2007 - 2026

Цвет обложки: голубой

ISBN: 978-5-346-01799-8

Глава 3. Прямолинейное неравномерное движение. Параграф 8. Ускорение. Равноускоренное движение - номер 3, страница 40.

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" => 1436895
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
    "field_page_start" => "40"
    "field_page_end" => null
    "field_url" => "/9-klass/fizika/shahmaev-uchebnik/08-3"
    "field_display_title" => "3"
    "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
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          #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"
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              "field_nominative_case" => "номер"
              "field_prepositional_case" => "номере"
            ]
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          ]
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          #guarded: array:1 [
            0 => "*"
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    }
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    "field_description_bottom" => null
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    "breadcrumbs" => []
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      #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"
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          #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"
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                  #attributes: array:7 [
                    "id" => 29
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Глава"
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                      "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
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                  ]
                  #original: array:7 [
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                    ]
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                  ]
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              #escapeWhenCastingToString: false
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            "field_page_start" => "33"
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            "field_display_branch_page" => "1"
            "field_branch_title_in_content" => "0"
            "field_navigation_title" => null
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            "book" => Illuminate\Database\Eloquent\Collection {#1080
              #items: array:1 [
                0 => App\Models\Book {#1049
                  #connection: "mysql"
                  #table: "books"
                  #primaryKey: "id"
                  #keyType: "int"
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                  #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"
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                          #withCount: []
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                          #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"
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                            "field_cases" => array:6 [
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                              "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"
                          ]
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                      ]
                      #escapeWhenCastingToString: false
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                    "field_class" => Illuminate\Database\Eloquent\Collection {#1052
                      #items: array:1 [
                        0 => App\Models\Term {#1053
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
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                          #attributes: array:6 [
                            "id" => 5458
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "9"
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                              "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"
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                              "field_genitive_case" => "девятого"
                              "field_nominative_case" => "девятый"
                              "field_prepositional_case" => "девятом"
                            ]
                            "field_translit" => "devjatyj"
                          ]
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                      ]
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                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1054
                      #items: array:1 [
                        0 => App\Models\Term {#1055
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
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                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
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                          ]
                          #original: array:6 [
                            "id" => 5155
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                            "updated_at" => null
                            "name" => "Мнемозина"
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                          ]
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                    "field_author" => Illuminate\Database\Eloquent\Collection {#1056
                      #items: array:2 [
                        0 => App\Models\Term {#1057
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
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                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Николай"
                            "field_patronymic" => "Михайлович"
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                            "field_name" => "Николай"
                            "field_patronymic" => "Михайлович"
                            "field_surname_rp" => null
                          ]
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                        1 => App\Models\Term {#1058
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
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                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
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                            "field_foreign_lang_patronymic" => null
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                            "field_patronymic" => "Васильевич"
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                            "created_at" => "2026-04-10 13:58:26"
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                        0 => App\Models\Term {#1061
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                          #attributes: array:10 [
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                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
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                      #items: array:1 [
                        0 => App\Models\Term {#1063
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                          #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" => 1436802
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Ускорение. Равноускоренное движение"
            "field_branch_order" => "8"
            "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" => "38"
            "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" => 1436802
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Ускорение. Равноускоренное движение"
            "field_branch_order" => "8"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1125}
            "field_page_start" => "38"
            "field_branch_display" => "0"
            "field_branch_expanded" => "0"
            "field_display_branch_in_title" => "1"
            "field_display_task_interval" => "0"
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                    "title" => "Решение"
                    "field_order" => "2"
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                    "field_solution_author" => "Gemini 2.5 Pro"
                    "field_moderator" => "tolik"
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                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1087}
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                  ]
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            "task" => array:2 [
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              "type" => "task"
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            "text" => "<p><strong>3.</strong> <strong>Решение</strong></p><p>Ускорение – это физическая величина, которая показывает, насколько быстро изменяется скорость тела с течением времени. Ускорение определяется как отношение изменения скорости ко времени, в течение которого это изменение произошло.</p><p>Математически это выражается формулой:</p><p>$a = \frac{\Delta v}{\Delta t} = \frac{v - v_0}{t}$</p><p>где:</p><ul><li>$\text{a}$ – ускорение,</li><li>$\Delta v$ – изменение скорости ($v - v_0$),</li><li>$\Delta t$ – промежуток времени ($\text{t}$).</li></ul><p>Чтобы определить единицу измерения ускорения, нужно подставить в формулу единицы измерения величин, из которых оно состоит.</p><p>В Международной системе единиц (СИ):</p><ul><li>Скорость ($\text{v}$) измеряется в метрах в секунду (м/с).</li><li>Время ($\text{t}$) измеряется в секундах (с).</li></ul><p>Следовательно, единица измерения ускорения в СИ будет:</p><p>$\frac{м/с}{с} = м \cdot с^{-1} \cdot с^{-1} = м/с^2$</p><p>Эта единица называется «метр на секунду в квадрате». Она показывает, на сколько метров в секунду изменяется скорость тела за одну секунду.</p><p>Также могут использоваться и другие, внесистемные единицы, например, сантиметр на секунду в квадрате (см/с$^2$), километр в час за секунду (км/ч·с) или стандартное ускорение свободного падения $\text{g}$ ($1g \approx 9,8$ м/с$^2$). Однако основной и общепринятой в науке и технике является единица СИ.</p><p><strong>Ответ:</strong> В Международной системе единиц (СИ) ускорение выражают в метрах на секунду в квадрате (м/с$^2$).</p>"
          ]
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            "id" => 1732237
            "created_at" => "2026-04-10 13:58:26"
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            "edition" => Illuminate\Database\Eloquent\Collection {#1082}
            "task" => array:2 [
              "refs" => "1436895"
              "type" => "task"
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            "text" => "<p><strong>3.</strong> <strong>Решение</strong></p><p>Ускорение – это физическая величина, которая показывает, насколько быстро изменяется скорость тела с течением времени. Ускорение определяется как отношение изменения скорости ко времени, в течение которого это изменение произошло.</p><p>Математически это выражается формулой:</p><p>$a = \frac{\Delta v}{\Delta t} = \frac{v - v_0}{t}$</p><p>где:</p><ul><li>$\text{a}$ – ускорение,</li><li>$\Delta v$ – изменение скорости ($v - v_0$),</li><li>$\Delta t$ – промежуток времени ($\text{t}$).</li></ul><p>Чтобы определить единицу измерения ускорения, нужно подставить в формулу единицы измерения величин, из которых оно состоит.</p><p>В Международной системе единиц (СИ):</p><ul><li>Скорость ($\text{v}$) измеряется в метрах в секунду (м/с).</li><li>Время ($\text{t}$) измеряется в секундах (с).</li></ul><p>Следовательно, единица измерения ускорения в СИ будет:</p><p>$\frac{м/с}{с} = м \cdot с^{-1} \cdot с^{-1} = м/с^2$</p><p>Эта единица называется «метр на секунду в квадрате». Она показывает, на сколько метров в секунду изменяется скорость тела за одну секунду.</p><p>Также могут использоваться и другие, внесистемные единицы, например, сантиметр на секунду в квадрате (см/с$^2$), километр в час за секунду (км/ч·с) или стандартное ускорение свободного падения $\text{g}$ ($1g \approx 9,8$ м/с$^2$). Однако основной и общепринятой в науке и технике является единица СИ.</p><p><strong>Ответ:</strong> В Международной системе единиц (СИ) ускорение выражают в метрах на секунду в квадрате (м/с$^2$).</p>"
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            "tasks" => Illuminate\Database\Eloquent\Collection {#1186
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                0 => App\Models\Task {#1196
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                    "id" => 1436893
                    "created_at" => "2026-04-10 13:58:26"
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                    "field_page_end" => null
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                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1197
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                        0 => App\Models\Term {#1036}
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                    "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}
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                      #escapeWhenCastingToString: false
                    }
                    "content" => Illuminate\Database\Eloquent\Collection {#1202
                      #items: array:2 [
                        0 => App\Models\Element {#1211
                          #connection: "mysql"
                          #table: "elements"
                          #primaryKey: "id"
                          #keyType: "int"
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                          #with: []
                          #withCount: []
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                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:7 [
                            "id" => 1702314
                            "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>1.</strong> Какое движение называют равноускоренным?</p>"
                            "img" => array:1 [ …1]
                          ]
                          #original: array:7 [
                            "id" => 1702314
                            "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>1.</strong> Какое движение называют равноускоренным?</p>"
                            "img" => array:1 [ …1]
                          ]
                          #changes: []
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                          #classCastCache: []
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                          #dateFormat: null
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                          #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" => 1732235
                            "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>1.</strong> Равноускоренным движением называют такое движение, при котором тело движется с постоянным по модулю и направлению ускорением. Иными словами, это движение, при котором за любые равные промежутки времени скорость тела изменяется на одну и ту же величину.</p><p>Ускорение $ \vec{a} $ при таком движении является постоянной векторной величиной, то есть $ \vec{a} = \text{const} $. Траектория такого движения может быть как прямой (прямолинейное равноускоренное движение), так и криволинейной (например, параболой, как при движении тела, брошенного под углом к горизонту).</p><p>Основные кинематические уравнения, описывающие прямолинейное равноускоренное движение (в проекциях на ось, совпадающую с направлением движения):</p><p>Зависимость скорости от времени: $ v_x(t) = v_{0x} + a_x t $.</p><p>Зависимость перемещения от времени: $ s_x(t) = v_{0x}t + \frac{a_x t^2}{2} $.</p><p>Зависимость координаты от времени: $ x(t) = x_0 + v_{0x}t + \frac{a_x t^2}{2} $.</p><p>Формула для перемещения без времени: $ s_x = \frac{v_x^2 - v_{0x}^2}{2a_x} $.</p><p>Здесь $ v_{0x} $ — начальная скорость, $ v_x $ — конечная скорость, $ a_x $ — ускорение, $ t $ — время, $ s_x $ — перемещение, $ x_0 $ — начальная координата, $ x $ — конечная координата.</p><p><strong>Ответ:</strong> Равноускоренное движение — это движение, при котором вектор ускорения тела остаётся постоянным по модулю и направлению ($ \vec{a} = \text{const} $).</p>"
                          ]
                          #original: array:6 [
                            "id" => 1732235
                            "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>1.</strong> Равноускоренным движением называют такое движение, при котором тело движется с постоянным по модулю и направлению ускорением. Иными словами, это движение, при котором за любые равные промежутки времени скорость тела изменяется на одну и ту же величину.</p><p>Ускорение $ \vec{a} $ при таком движении является постоянной векторной величиной, то есть $ \vec{a} = \text{const} $. Траектория такого движения может быть как прямой (прямолинейное равноускоренное движение), так и криволинейной (например, параболой, как при движении тела, брошенного под углом к горизонту).</p><p>Основные кинематические уравнения, описывающие прямолинейное равноускоренное движение (в проекциях на ось, совпадающую с направлением движения):</p><p>Зависимость скорости от времени: $ v_x(t) = v_{0x} + a_x t $.</p><p>Зависимость перемещения от времени: $ s_x(t) = v_{0x}t + \frac{a_x t^2}{2} $.</p><p>Зависимость координаты от времени: $ x(t) = x_0 + v_{0x}t + \frac{a_x t^2}{2} $.</p><p>Формула для перемещения без времени: $ s_x = \frac{v_x^2 - v_{0x}^2}{2a_x} $.</p><p>Здесь $ v_{0x} $ — начальная скорость, $ v_x $ — конечная скорость, $ a_x $ — ускорение, $ t $ — время, $ s_x $ — перемещение, $ x_0 $ — начальная координата, $ x $ — конечная координата.</p><p><strong>Ответ:</strong> Равноускоренное движение — это движение, при котором вектор ускорения тела остаётся постоянным по модулю и направлению ($ \vec{a} = \text{const} $).</p>"
                          ]
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                            0 => "*"
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                    "book" => Illuminate\Database\Eloquent\Collection {#1208
                      #items: array:1 [
                        0 => App\Models\Book {#1049}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "page" => array:2 [
                      "refs" => "1436599"
                      "type" => "book_page"
                    ]
                  ]
                  #original: array:24 [
                    "id" => 1436893
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "40"
                    "field_page_end" => null
                    "field_url" => "/9-klass/fizika/shahmaev-uchebnik/08-1"
                    "field_display_title" => "1"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1197}
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                    "field_h1" => null
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                    "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" => "1436894"
                      "type" => "task"
                    ]
                    "previous" => array:2 [
                      "refs" => "1436892"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#1208}
                    "page" => array:2 [
                      "refs" => "1436599"
                      "type" => "book_page"
                    ]
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                    0 => "*"
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                }
                1 => App\Models\Task {#1203
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
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                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
                    "id" => 1436894
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "40"
                    "field_page_end" => null
                    "field_url" => "/9-klass/fizika/shahmaev-uchebnik/08-2"
                    "field_display_title" => "2"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1201
                      #items: array:1 [
                        0 => App\Models\Term {#1036}
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                      #escapeWhenCastingToString: false
                    }
                    "field_metatags_title" => null
                    "field_metatags_description" => null
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                    "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" => 1702315
                            "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>2.</strong> Дайте определение ускорения движения.</p>"
                            "img" => array:1 [ …1]
                          ]
                          #original: array:7 [
                            "id" => 1702315
                            "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>2.</strong> Дайте определение ускорения движения.</p>"
                            "img" => array:1 [ …1]
                          ]
                          #changes: []
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                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
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                          #dispatchesEvents: []
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                          #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" => 1732236
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "edition" => Illuminate\Database\Eloquent\Collection {#1226 …2}
                            "task" => array:2 [ …2]
                            "text" => "<p><strong>2.</strong> Дайте определение ускорения движения.</p><p>Ускорение – это векторная физическая величина, которая характеризует быстроту изменения скорости тела по величине и направлению. Иными словами, ускорение показывает, на сколько изменяется вектор скорости тела за единицу времени.</p><p>Ускорение (обозначается как $\vec{a}$) находится как отношение изменения скорости $\Delta\vec{v}$ к промежутку времени $\Delta t$, за который это изменение произошло. Математически это выражается формулой:</p><p>$\vec{a} = \frac{\Delta\vec{v}}{\Delta t} = \frac{\vec{v} - \vec{v}_0}{\Delta t}$</p><p>где $\vec{v}$ – конечная скорость тела, а $\vec{v}_0$ – его начальная скорость.</p><p>Так как скорость является вектором, ускорение также является векторной величиной, имеющей и модуль, и направление. Направление вектора ускорения совпадает с направлением вектора изменения скорости $\Delta\vec{v}$.</p><ul><li>Если вектор ускорения сонаправлен с вектором скорости, то модуль скорости тела увеличивается – такое движение называют <em>равноускоренным</em>.</li><li>Если вектор ускорения направлен противоположно вектору скорости, то модуль скорости тела уменьшается – такое движение называют <em>равнозамедленным</em>.</li><li>Если ускорение равно нулю ($\vec{a}=0$), тело движется с постоянной скоростью (равномерно и прямолинейно) или находится в состоянии покоя, в соответствии с первым законом Ньютона.</li></ul><p><strong>Ответ:</strong> Ускорение – это векторная физическая величина, равная отношению изменения скорости тела к промежутку времени, за который это изменение произошло, и характеризующая быстроту изменения скорости.</p><p><strong>3.</strong> В каких единицах выражают ускорение?</p><p>В Международной системе единиц (СИ) единицей измерения ускорения является метр на секунду в квадрате ($м/с^2$).</p><p>Данная единица имеет ясный физический смысл: она показывает, на сколько метров в секунду ($м/с$) изменяется скорость тела за каждую секунду ($с$) времени. Например, если тело движется с ускорением $5 \, м/с^2$, это означает, что каждую секунду его скорость увеличивается на $5 \, м/с$.</p><p>Помимо основной единицы СИ, на практике могут использоваться и другие единицы, в зависимости от контекста задачи. Например:</p><ul><li>В системе СГС (сантиметр-грамм-секунда) используется сантиметр на секунду в квадрате ($см/с^2$), также известный как "гал".</li><li>В некоторых технических расчетах можно встретить километр в час за секунду ($км/ч \cdot с$).</li><li>Часто ускорение выражают в единицах ускорения свободного падения ($\text{g}$), где $g \approx 9,81 \, м/с^2$. Например, перегрузка космонавта в $3g$ означает, что он испытывает ускорение, в 3 раза превышающее ускорение свободного падения на Земле.</li></ul><p><strong>Ответ:</strong> В Международной системе единиц (СИ) ускорение выражают в метрах на секунду в квадрате ($м/с^2$).</p>"
                          ]
                          #original: array:6 [
                            "id" => 1732236
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "edition" => Illuminate\Database\Eloquent\Collection {#1226 …2}
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                            "text" => "<p><strong>2.</strong> Дайте определение ускорения движения.</p><p>Ускорение – это векторная физическая величина, которая характеризует быстроту изменения скорости тела по величине и направлению. Иными словами, ускорение показывает, на сколько изменяется вектор скорости тела за единицу времени.</p><p>Ускорение (обозначается как $\vec{a}$) находится как отношение изменения скорости $\Delta\vec{v}$ к промежутку времени $\Delta t$, за который это изменение произошло. Математически это выражается формулой:</p><p>$\vec{a} = \frac{\Delta\vec{v}}{\Delta t} = \frac{\vec{v} - \vec{v}_0}{\Delta t}$</p><p>где $\vec{v}$ – конечная скорость тела, а $\vec{v}_0$ – его начальная скорость.</p><p>Так как скорость является вектором, ускорение также является векторной величиной, имеющей и модуль, и направление. Направление вектора ускорения совпадает с направлением вектора изменения скорости $\Delta\vec{v}$.</p><ul><li>Если вектор ускорения сонаправлен с вектором скорости, то модуль скорости тела увеличивается – такое движение называют <em>равноускоренным</em>.</li><li>Если вектор ускорения направлен противоположно вектору скорости, то модуль скорости тела уменьшается – такое движение называют <em>равнозамедленным</em>.</li><li>Если ускорение равно нулю ($\vec{a}=0$), тело движется с постоянной скоростью (равномерно и прямолинейно) или находится в состоянии покоя, в соответствии с первым законом Ньютона.</li></ul><p><strong>Ответ:</strong> Ускорение – это векторная физическая величина, равная отношению изменения скорости тела к промежутку времени, за который это изменение произошло, и характеризующая быстроту изменения скорости.</p><p><strong>3.</strong> В каких единицах выражают ускорение?</p><p>В Международной системе единиц (СИ) единицей измерения ускорения является метр на секунду в квадрате ($м/с^2$).</p><p>Данная единица имеет ясный физический смысл: она показывает, на сколько метров в секунду ($м/с$) изменяется скорость тела за каждую секунду ($с$) времени. Например, если тело движется с ускорением $5 \, м/с^2$, это означает, что каждую секунду его скорость увеличивается на $5 \, м/с$.</p><p>Помимо основной единицы СИ, на практике могут использоваться и другие единицы, в зависимости от контекста задачи. Например:</p><ul><li>В системе СГС (сантиметр-грамм-секунда) используется сантиметр на секунду в квадрате ($см/с^2$), также известный как "гал".</li><li>В некоторых технических расчетах можно встретить километр в час за секунду ($км/ч \cdot с$).</li><li>Часто ускорение выражают в единицах ускорения свободного падения ($\text{g}$), где $g \approx 9,81 \, м/с^2$. Например, перегрузка космонавта в $3g$ означает, что он испытывает ускорение, в 3 раза превышающее ускорение свободного падения на Земле.</li></ul><p><strong>Ответ:</strong> В Международной системе единиц (СИ) ускорение выражают в метрах на секунду в квадрате ($м/с^2$).</p>"
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                            "edition" => Illuminate\Database\Eloquent\Collection {#1243 …2}
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                            "text" => "<p><strong>4.</strong> Ускорение ракеты при запуске спутника равно $60 \, \text{м}/\text{с}^2$. Что это означает?</p>"
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                            "text" => "<p><strong>4.</strong> Ускорение ракеты при запуске спутника равно $60 \, \text{м}/\text{с}^2$. Что это означает?</p>"
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                        1 => App\Models\Element {#1244
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                            "edition" => Illuminate\Database\Eloquent\Collection {#1245 …2}
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                            "text" => "<p><strong>4.</strong> Ускорение — это физическая величина, которая показывает, на сколько изменяется скорость тела за единицу времени. Единица измерения ускорения в Международной системе единиц (СИ) — метр в секунду за секунду, или метр на секунду в квадрате ($м/с^2$).</p><p>Утверждение, что ускорение ракеты при запуске спутника равно $60 \, м/с^2$, означает, что за каждую секунду полета скорость ракеты увеличивается на $60 \, м/с$.</p><p>Это можно проиллюстрировать на примере. Если считать, что ракета стартует с нулевой начальной скоростью и ее ускорение постоянно, то:</p><p>- через 1 секунду после старта ее скорость составит $60 \, м/с$;<br>- через 2 секунды скорость будет уже $120 \, м/с$;<br>- через 3 секунды — $180 \, м/с$, и так далее.<br></p><p>Таким образом, данная величина характеризует, насколько интенсивно ракета набирает скорость.</p><p><strong>Ответ:</strong> Это означает, что каждую секунду скорость ракеты увеличивается на $60 \, м/с$.</p>"
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                            "edition" => Illuminate\Database\Eloquent\Collection {#1245 …2}
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                            "text" => "<p><strong>4.</strong> Ускорение — это физическая величина, которая показывает, на сколько изменяется скорость тела за единицу времени. Единица измерения ускорения в Международной системе единиц (СИ) — метр в секунду за секунду, или метр на секунду в квадрате ($м/с^2$).</p><p>Утверждение, что ускорение ракеты при запуске спутника равно $60 \, м/с^2$, означает, что за каждую секунду полета скорость ракеты увеличивается на $60 \, м/с$.</p><p>Это можно проиллюстрировать на примере. Если считать, что ракета стартует с нулевой начальной скоростью и ее ускорение постоянно, то:</p><p>- через 1 секунду после старта ее скорость составит $60 \, м/с$;<br>- через 2 секунды скорость будет уже $120 \, м/с$;<br>- через 3 секунды — $180 \, м/с$, и так далее.<br></p><p>Таким образом, данная величина характеризует, насколько интенсивно ракета набирает скорость.</p><p><strong>Ответ:</strong> Это означает, что каждую секунду скорость ракеты увеличивается на $60 \, м/с$.</p>"
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№3 (с. 40)
Условие. №3 (с. 40)
скриншот условия
Физика, 9 класс Учебник, авторы: Шахмаев Николай Михайлович, Бунчук Алексей Васильевич, издательство Мнемозина, Москва, 2007, голубого цвета, страница 40, номер 3, Условие

3. В каких единицах выражают ускорение?

Решение. №3 (с. 40)

3. Решение

Ускорение – это физическая величина, которая показывает, насколько быстро изменяется скорость тела с течением времени. Ускорение определяется как отношение изменения скорости ко времени, в течение которого это изменение произошло.

Математически это выражается формулой:

$a = \frac{\Delta v}{\Delta t} = \frac{v - v_0}{t}$

где:

  • $\text{a}$ – ускорение,
  • $\Delta v$ – изменение скорости ($v - v_0$),
  • $\Delta t$ – промежуток времени ($\text{t}$).

Чтобы определить единицу измерения ускорения, нужно подставить в формулу единицы измерения величин, из которых оно состоит.

В Международной системе единиц (СИ):

  • Скорость ($\text{v}$) измеряется в метрах в секунду (м/с).
  • Время ($\text{t}$) измеряется в секундах (с).

Следовательно, единица измерения ускорения в СИ будет:

$\frac{м/с}{с} = м \cdot с^{-1} \cdot с^{-1} = м/с^2$

Эта единица называется «метр на секунду в квадрате». Она показывает, на сколько метров в секунду изменяется скорость тела за одну секунду.

Также могут использоваться и другие, внесистемные единицы, например, сантиметр на секунду в квадрате (см/с$^2$), километр в час за секунду (км/ч·с) или стандартное ускорение свободного падения $\text{g}$ ($1g \approx 9,8$ м/с$^2$). Однако основной и общепринятой в науке и технике является единица СИ.

Ответ: В Международной системе единиц (СИ) ускорение выражают в метрах на секунду в квадрате (м/с$^2$).

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