Chers finalistes, préparez-vous pour le grand jour avec nos contenus !

Des items de toutes les options taillés sur mesure pour que vous prépariez mieux vos épreuves

Start learning
La chute libre des corps
Matériel didactique : Tableau noir,craies blanches
Objectif opérationnel : A l’issue de la leçon, les élèves seront capables de l’effet de la pesanteur, les lois des grandeurs

Rappel

Quelle est l’expression de l’espace total en MRUR ?

Rappel

et= e0 +v0.t= at2

Motivation

Quel constant faites-vous lorsque le prof relâche la craie par la main ?

Motivation

La craie tombe pour retrouver le centre  de la terre avec une certaine vitesse.

Annonce du sujet

Qu'allons nous étudier aujourd'hui

Annonce du sujet

Aujourd'hui nous allons étudier la chute  libre des corps 

Développement

Chute libre des corps

Définition : tout corps tombe est attiré vers le centre de la terre c’est l’attraction universelle. Cette attraction est une droite verticale qui joint le corps au centre de la terre.

Lois des accélérations : Elle est constante notée par « G » obtenue par l’action de pesanteur sur une masse constante.

g= 9,81 m/s2

Lois des vitesses : la vitesse varie en fonction du temps. 

Vt=g.t (m/s)

Lois des espaces : quand il s’agit d’une chute, on parlera plus de la hauteur.

Que vaut la hauteur en chute libre

En MRUV 

Synthèse de la leçon 

La chute libre n’est que l’application du MRUV.

8.1.28PHP Version159msRequest Duration6MBMemory UsageGET lessons/{id}/{slug}Route
    • Booting (36.87ms)
    • Application (122ms)
    • 1 x Application (76.71%)
      121.62ms
      1 x Booting (23.25%)
      36.87ms
      7 templates were rendered
      • public.lessons.show (resources/views/public/lessons/show.blade.php)2bladefile
        Params
        0
        lesson
        1
        lessons
      • components.banner-page (resources/views/components/banner-page.blade.php)7bladefile
        Params
        0
        property
        1
        firstTitle
        2
        secondTitle
        3
        src
        4
        attributes
        5
        slot
        6
        __laravel_slots
      • components.ad-card-lesson-long (resources/views/components/ad-card-lesson-long.blade.php)7bladefile
        Params
        0
        summary
        1
        title
        2
        actionLink
        3
        actionText
        4
        attributes
        5
        slot
        6
        __laravel_slots
      • components.button-link (resources/views/components/button-link.blade.php)6bladefile
        Params
        0
        class
        1
        title
        2
        href
        3
        attributes
        4
        slot
        5
        __laravel_slots
      • layouts.public (resources/views/layouts/public.blade.php)10bladefile
        Params
        0
        __env
        1
        app
        2
        errors
        3
        lesson
        4
        lessons
        5
        component
        6
        __currentLoopData
        7
        lesson_
        8
        loop
        9
        section
      • layouts.include.public.header (resources/views/layouts/include/public/header.blade.php)10bladefile
        Params
        0
        __env
        1
        app
        2
        errors
        3
        lesson
        4
        lessons
        5
        component
        6
        __currentLoopData
        7
        lesson_
        8
        loop
        9
        section
      • layouts.include.public.footer (resources/views/layouts/include/public/footer.blade.php)10bladefile
        Params
        0
        __env
        1
        app
        2
        errors
        3
        lesson
        4
        lessons
        5
        component
        6
        __currentLoopData
        7
        lesson_
        8
        loop
        9
        section
      uri
      GET lessons/{id}/{slug}
      middleware
      web
      controller
      App\Http\Controllers\Public\LessonController@show
      as
      public.lesson.show
      namespace
      prefix
      /lessons
      where
      file
      app/Http/Controllers/Public/LessonController.php:86-138
      40 statements were executed73.62ms
      • select * from `oldt_posts` where (`id` = '1519' and `slug` = 'la-chute-libre-des-corps') and exists (select * from `oldt_material_sheets` where `oldt_posts`.`material_sheet_id` = `oldt_material_sheets`.`id`) limit 1
        1.77ms/app/Http/Controllers/Public/LessonController.php:92schoolap
        Metadata
        Bindings
        • 0. 1519
        • 1. la-chute-libre-des-corps
        Backtrace
        • 15. /app/Http/Controllers/Public/LessonController.php:92
        • 16. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 17. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 18. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `lessons` where `lessons`.`id` = '1519' and `lessons`.`deleted_at` is null limit 1
        520μs/app/Repositories/LessonRepository.php:41schoolap
        Metadata
        Bindings
        • 0. 1519
        Backtrace
        • 19. /app/Repositories/LessonRepository.php:41
        • 20. /app/Http/Controllers/Public/LessonController.php:95
        • 21. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 22. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 23. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • select * from `lessons` where `lessons`.`deleted_at` is null order by RAND() limit 4
        44.79ms/app/Http/Controllers/Public/LessonController.php:96schoolap
        Metadata
        Backtrace
        • 14. /app/Http/Controllers/Public/LessonController.php:96
        • 15. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 16. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 17. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 18. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • update `lessons` set `count_view` = `count_view` + 1, `lessons`.`updated_at` = '2025-05-02 21:59:43' where `id` = 1519 and `lessons`.`deleted_at` is null
        4.16ms/app/Http/Controllers/Public/LessonController.php:98schoolap
        Metadata
        Bindings
        • 0. 2025-05-02 21:59:43
        • 1. 1519
        Backtrace
        • 16. /app/Http/Controllers/Public/LessonController.php:98
        • 17. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 18. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 20. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `chapters` where `chapters`.`id` = 486 and `chapters`.`deleted_at` is null limit 1
        700μsview::public.lessons.show:10schoolap
        Metadata
        Bindings
        • 0. 486
        Backtrace
        • 20. view::public.lessons.show:10
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `course_classes` where `course_classes`.`id` = 155 and `course_classes`.`deleted_at` is null limit 1
        930μsview::public.lessons.show:10schoolap
        Metadata
        Bindings
        • 0. 155
        Backtrace
        • 20. view::public.lessons.show:10
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `classes` where `classes`.`id` in (102) and `classes`.`deleted_at` is null
        680μsview::public.lessons.show:10schoolap
        Metadata
        Backtrace
        • 25. view::public.lessons.show:10
        • 27. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 28. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 29. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 30. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `cycle_levels` where `cycle_levels`.`id` in (69)
        580μsview::public.lessons.show:10schoolap
        Metadata
        Backtrace
        • 30. view::public.lessons.show:10
        • 32. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 33. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 34. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 35. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `cycles` where `cycles`.`id` in (11)
        440μsview::public.lessons.show:10schoolap
        Metadata
        Backtrace
        • 35. view::public.lessons.show:10
        • 37. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 38. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 39. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 40. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `levels` where `levels`.`id` in (27)
        500μsview::public.lessons.show:10schoolap
        Metadata
        Backtrace
        • 35. view::public.lessons.show:10
        • 37. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 38. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 39. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 40. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `courses` where `courses`.`id` in (107) and `courses`.`deleted_at` is null
        480μsview::public.lessons.show:10schoolap
        Metadata
        Backtrace
        • 25. view::public.lessons.show:10
        • 27. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 28. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 29. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 30. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_sections` where `lesson_sections`.`lesson_id` = 1519 and `lesson_sections`.`lesson_id` is not null
        1.4msview::public.lessons.show:116schoolap
        Metadata
        Bindings
        • 0. 1519
        Backtrace
        • 19. view::public.lessons.show:116
        • 21. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 22. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 24. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 11925 and `lesson_contents`.`deleted_at` is null limit 1
        1.81msview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 11925
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 11708 and `content_texts`.`deleted_at` is null limit 1
        1.4msview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 11708
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 11926 and `lesson_contents`.`deleted_at` is null limit 1
        580μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 11926
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 11709 and `content_texts`.`deleted_at` is null limit 1
        610μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 11709
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 11927 and `lesson_contents`.`deleted_at` is null limit 1
        830μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 11927
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 11710 and `content_texts`.`deleted_at` is null limit 1
        550μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 11710
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 11928 and `lesson_contents`.`deleted_at` is null limit 1
        710μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 11928
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 11711 and `content_texts`.`deleted_at` is null limit 1
        520μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 11711
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 11929 and `lesson_contents`.`deleted_at` is null limit 1
        530μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 11929
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 11712 and `content_texts`.`deleted_at` is null limit 1
        660μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 11712
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 11930 and `lesson_contents`.`deleted_at` is null limit 1
        620μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 11930
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 11713 and `content_texts`.`deleted_at` is null limit 1
        500μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 11713
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 11931 and `lesson_contents`.`deleted_at` is null limit 1
        400μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 11931
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 11714 and `content_texts`.`deleted_at` is null limit 1
        520μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 11714
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 11932 and `lesson_contents`.`deleted_at` is null limit 1
        390μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 11932
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 11715 and `content_texts`.`deleted_at` is null limit 1
        420μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 11715
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 11933 and `lesson_contents`.`deleted_at` is null limit 1
        560μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 11933
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 11716 and `content_texts`.`deleted_at` is null limit 1
        480μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 11716
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 11934 and `lesson_contents`.`deleted_at` is null limit 1
        370μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 11934
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 11717 and `content_texts`.`deleted_at` is null limit 1
        740μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 11717
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 11935 and `lesson_contents`.`deleted_at` is null limit 1
        580μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 11935
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 11718 and `content_texts`.`deleted_at` is null limit 1
        500μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 11718
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 11936 and `lesson_contents`.`deleted_at` is null limit 1
        410μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 11936
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 11719 and `content_texts`.`deleted_at` is null limit 1
        400μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 11719
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 11937 and `lesson_contents`.`deleted_at` is null limit 1
        260μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 11937
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 11720 and `content_texts`.`deleted_at` is null limit 1
        460μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 11720
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `lesson_contents` where `lesson_contents`.`id` = 11938 and `lesson_contents`.`deleted_at` is null limit 1
        430μsview::public.lessons.show:117schoolap
        Metadata
        Bindings
        • 0. 11938
        Backtrace
        • 20. view::public.lessons.show:117
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      • select * from `content_texts` where `content_texts`.`id` = 11721 and `content_texts`.`deleted_at` is null limit 1
        430μsview::public.lessons.show:133schoolap
        Metadata
        Bindings
        • 0. 11721
        Backtrace
        • 20. view::public.lessons.show:133
        • 22. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 23. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
        • 25. /vendor/laravel/framework/src/Illuminate/View/View.php:195
      App\Models\ContentText
      14
      App\Models\Lesson\LessonContent
      14
      App\Models\Lesson\LessonSection
      14
      App\Models\Course\Course
      1
      App\Models\Level
      1
      App\Models\Cycle
      1
      App\Models\CycleLevel
      1
      App\Models\Classe
      1
      App\Models\Course\CourseClass
      1
      App\Models\Chapter
      1
      App\Models\Lesson\Lesson
      5
        _token
        vo6uH8K39iNOVuZyRzFAxg7O9XtI7YtnKkCA5vC1
        applocale
        en
        _previous
        array:1 [ "url" => "https://s8.schoolap.com/lessons/1519/la-chute-libre-des-corps" ]
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /lessons/1519/la-chute-libre-des-corps
        status_code
        200
        
        status_text
        OK
        format
        html
        content_type
        text/html; charset=UTF-8
        request_query
        []
        
        request_request
        []
        
        request_headers
        0 of 0
        array:17 [ "accept-encoding" => array:1 [ 0 => "gzip, deflate, br, zstd" ] "sec-fetch-dest" => array:1 [ 0 => "document" ] "sec-fetch-user" => array:1 [ 0 => "?1" ] "sec-fetch-mode" => array:1 [ 0 => "navigate" ] "sec-fetch-site" => array:1 [ 0 => "none" ] "accept" => array:1 [ 0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" ] "user-agent" => array:1 [ 0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" ] "upgrade-insecure-requests" => array:1 [ 0 => "1" ] "sec-ch-ua-platform" => array:1 [ 0 => ""Windows"" ] "sec-ch-ua-mobile" => array:1 [ 0 => "?0" ] "sec-ch-ua" => array:1 [ 0 => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99"" ] "cache-control" => array:1 [ 0 => "no-cache" ] "pragma" => array:1 [ 0 => "no-cache" ] "connection" => array:1 [ 0 => "keep-alive" ] "host" => array:1 [ 0 => "s8.schoolap.com" ] "content-length" => array:1 [ 0 => "" ] "content-type" => array:1 [ 0 => "" ] ]
        request_server
        0 of 0
        array:41 [ "USER" => "www-data" "HOME" => "/var/www" "HTTP_ACCEPT_ENCODING" => "gzip, deflate, br, zstd" "HTTP_SEC_FETCH_DEST" => "document" "HTTP_SEC_FETCH_USER" => "?1" "HTTP_SEC_FETCH_MODE" => "navigate" "HTTP_SEC_FETCH_SITE" => "none" "HTTP_ACCEPT" => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" "HTTP_USER_AGENT" => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" "HTTP_UPGRADE_INSECURE_REQUESTS" => "1" "HTTP_SEC_CH_UA_PLATFORM" => ""Windows"" "HTTP_SEC_CH_UA_MOBILE" => "?0" "HTTP_SEC_CH_UA" => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99"" "HTTP_CACHE_CONTROL" => "no-cache" "HTTP_PRAGMA" => "no-cache" "HTTP_CONNECTION" => "keep-alive" "HTTP_HOST" => "s8.schoolap.com" "REDIRECT_STATUS" => "200" "SERVER_NAME" => "s8.schoolap.com" "SERVER_PORT" => "443" "SERVER_ADDR" => "188.166.147.66" "REMOTE_PORT" => "16574" "REMOTE_ADDR" => "18.188.86.189" "SERVER_SOFTWARE" => "nginx/1.18.0" "GATEWAY_INTERFACE" => "CGI/1.1" "HTTPS" => "on" "REQUEST_SCHEME" => "https" "SERVER_PROTOCOL" => "HTTP/1.1" "DOCUMENT_ROOT" => "/var/www/s8.schoolap.com/public" "DOCUMENT_URI" => "/index.php" "REQUEST_URI" => "/lessons/1519/la-chute-libre-des-corps" "SCRIPT_NAME" => "/index.php" "CONTENT_LENGTH" => "" "CONTENT_TYPE" => "" "REQUEST_METHOD" => "GET" "QUERY_STRING" => "" "SCRIPT_FILENAME" => "/var/www/s8.schoolap.com/public/index.php" "FCGI_ROLE" => "RESPONDER" "PHP_SELF" => "/index.php" "REQUEST_TIME_FLOAT" => 1746223183.4099 "REQUEST_TIME" => 1746223183 ]
        request_cookies
        []
        
        response_headers
        0 of 0
        array:5 [ "content-type" => array:1 [ 0 => "text/html; charset=UTF-8" ] "cache-control" => array:1 [ 0 => "no-cache, private" ] "date" => array:1 [ 0 => "Fri, 02 May 2025 21:59:43 GMT" ] "set-cookie" => array:3 [ 0 => "lang_schoolap=eyJpdiI6ImxwclZiM0xuNmdvcDc5KzhBNTdzWXc9PSIsInZhbHVlIjoib082aDJaOFRHRDQ5TEVRaTlERk5XY1hCTWIzWTlGcDRrUUJxejFQMWhwaDJPdGdiZXlBMEcvSER3dWZpNFBYeSIsIm1hYyI6IjQ2NmYzYTU2MzljM2FlNzI1YWZhZWY1NmRmNWM2ZjY4MzM5NzgxMmNlZTIwZTQ2YjFiZTQyNWE3ZTExM2Q2MWIiLCJ0YWciOiIifQ%3D%3D; expires=Fri, 09 May 2025 20:39:43 GMT; Max-Age=600000; path=/; httponly; samesite=laxlang_schoolap=eyJpdiI6ImxwclZiM0xuNmdvcDc5KzhBNTdzWXc9PSIsInZhbHVlIjoib082aDJaOFRHRDQ5TEVRaTlERk5XY1hCTWIzWTlGcDRrUUJxejFQMWhwaDJPdGdiZXlBMEcvSER3dWZpNFBYeSIsIm" 1 => "XSRF-TOKEN=eyJpdiI6Ik5UU3VnNGhDTW5sSHZVYmhtbS9MMkE9PSIsInZhbHVlIjoiL1A2a3NnVTNSY0VPaG44OTczYVNqRk1pSURyc0ppbjFOWWJRb3BBT3EwYmpGeVVLQVhsdjNaNE1STTJtd0hzRllOWFplTm1EWFV3RmY4dHVFRmVuZGdRRDl1YXU2US94NHlSaWFrdzJxMlI2YlBVMldXT1JoQWMvNlY3TGplUjMiLCJtYWMiOiIxZDdjODllZGM4MDEzZjQxNzdiMTU5Y2ZkNmI0NzhhNzUxYzA4ZmExNjJlOWZkNGJmYWNlZDJjOTVlMzRhMWY2IiwidGFnIjoiIn0%3D; expires=Fri, 02 May 2025 23:59:43 GMT; Max-Age=7200; path=/; samesite=laxXSRF-TOKEN=eyJpdiI6Ik5UU3VnNGhDTW5sSHZVYmhtbS9MMkE9PSIsInZhbHVlIjoiL1A2a3NnVTNSY0VPaG44OTczYVNqRk1pSURyc0ppbjFOWWJRb3BBT3EwYmpGeVVLQVhsdjNaNE1STTJtd0hzRllOWFplT" 2 => "schoolap_session=eyJpdiI6IjRMc0Y4K1NvZVVGTlZiN0hCOEVBN3c9PSIsInZhbHVlIjoiSmNjdUEwQXduZGsxbWlodTgwbjlyYTZlUnBIb2c1VVZ4aklHVVFxbFVTQmk2K2FNa1YzalI5SldPWTYxTXdvVkdub0VkUmtua3VmLzJiQmJjdDNpdFFVeHpqTkFwNG9LdEtNQng0bmJrRzdJekV5eGFjamVGZFN2WEx5eXZxUkoiLCJtYWMiOiI1ZWJiZDVlOWUxNzU4M2FjNDgxNjdkODk4ODdkMmFlN2VmNjYyYTRiOGVlNTQwYzc3Y2Q0N2RkNWIyNjY1MWNlIiwidGFnIjoiIn0%3D; expires=Fri, 02 May 2025 23:59:43 GMT; Max-Age=7200; path=/; httponly; samesite=laxschoolap_session=eyJpdiI6IjRMc0Y4K1NvZVVGTlZiN0hCOEVBN3c9PSIsInZhbHVlIjoiSmNjdUEwQXduZGsxbWlodTgwbjlyYTZlUnBIb2c1VVZ4aklHVVFxbFVTQmk2K2FNa1YzalI5SldPWTYxTXdvVkd" ] "Set-Cookie" => array:3 [ 0 => "lang_schoolap=eyJpdiI6ImxwclZiM0xuNmdvcDc5KzhBNTdzWXc9PSIsInZhbHVlIjoib082aDJaOFRHRDQ5TEVRaTlERk5XY1hCTWIzWTlGcDRrUUJxejFQMWhwaDJPdGdiZXlBMEcvSER3dWZpNFBYeSIsIm1hYyI6IjQ2NmYzYTU2MzljM2FlNzI1YWZhZWY1NmRmNWM2ZjY4MzM5NzgxMmNlZTIwZTQ2YjFiZTQyNWE3ZTExM2Q2MWIiLCJ0YWciOiIifQ%3D%3D; expires=Fri, 09-May-2025 20:39:43 GMT; path=/; httponlylang_schoolap=eyJpdiI6ImxwclZiM0xuNmdvcDc5KzhBNTdzWXc9PSIsInZhbHVlIjoib082aDJaOFRHRDQ5TEVRaTlERk5XY1hCTWIzWTlGcDRrUUJxejFQMWhwaDJPdGdiZXlBMEcvSER3dWZpNFBYeSIsIm" 1 => "XSRF-TOKEN=eyJpdiI6Ik5UU3VnNGhDTW5sSHZVYmhtbS9MMkE9PSIsInZhbHVlIjoiL1A2a3NnVTNSY0VPaG44OTczYVNqRk1pSURyc0ppbjFOWWJRb3BBT3EwYmpGeVVLQVhsdjNaNE1STTJtd0hzRllOWFplTm1EWFV3RmY4dHVFRmVuZGdRRDl1YXU2US94NHlSaWFrdzJxMlI2YlBVMldXT1JoQWMvNlY3TGplUjMiLCJtYWMiOiIxZDdjODllZGM4MDEzZjQxNzdiMTU5Y2ZkNmI0NzhhNzUxYzA4ZmExNjJlOWZkNGJmYWNlZDJjOTVlMzRhMWY2IiwidGFnIjoiIn0%3D; expires=Fri, 02-May-2025 23:59:43 GMT; path=/XSRF-TOKEN=eyJpdiI6Ik5UU3VnNGhDTW5sSHZVYmhtbS9MMkE9PSIsInZhbHVlIjoiL1A2a3NnVTNSY0VPaG44OTczYVNqRk1pSURyc0ppbjFOWWJRb3BBT3EwYmpGeVVLQVhsdjNaNE1STTJtd0hzRllOWFplT" 2 => "schoolap_session=eyJpdiI6IjRMc0Y4K1NvZVVGTlZiN0hCOEVBN3c9PSIsInZhbHVlIjoiSmNjdUEwQXduZGsxbWlodTgwbjlyYTZlUnBIb2c1VVZ4aklHVVFxbFVTQmk2K2FNa1YzalI5SldPWTYxTXdvVkdub0VkUmtua3VmLzJiQmJjdDNpdFFVeHpqTkFwNG9LdEtNQng0bmJrRzdJekV5eGFjamVGZFN2WEx5eXZxUkoiLCJtYWMiOiI1ZWJiZDVlOWUxNzU4M2FjNDgxNjdkODk4ODdkMmFlN2VmNjYyYTRiOGVlNTQwYzc3Y2Q0N2RkNWIyNjY1MWNlIiwidGFnIjoiIn0%3D; expires=Fri, 02-May-2025 23:59:43 GMT; path=/; httponlyschoolap_session=eyJpdiI6IjRMc0Y4K1NvZVVGTlZiN0hCOEVBN3c9PSIsInZhbHVlIjoiSmNjdUEwQXduZGsxbWlodTgwbjlyYTZlUnBIb2c1VVZ4aklHVVFxbFVTQmk2K2FNa1YzalI5SldPWTYxTXdvVkd" ] ]
        session_attributes
        0 of 0
        array:5 [ "_token" => "vo6uH8K39iNOVuZyRzFAxg7O9XtI7YtnKkCA5vC1" "applocale" => "en" "_previous" => array:1 [ "url" => "https://s8.schoolap.com/lessons/1519/la-chute-libre-des-corps" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]