Предмет: Алгебра, автор: lovea3184p836zs

Тіло рухається прямолінійно зі швидкістю, яка змінюється за законом v=2t + 1 (м/c). Знайти шлях, який пройшло тіло за інтервал часу від
t =1 с До t, =3 С.

Ответы

Автор ответа: dobra888
1

Відповідь:      s = 10 м .  

Пояснення:

     s = ∫₁³( 2t + 1 )dt = ( 2t²/2 + t )│₁³ = ( t² + t )│₁³ = 3² + 3 - ( 1² + 1 ) =

        = 9 + 3 - 2 = 10 ( м ) ;   s = 10 м .  

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