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Консультация № 199793
07.12.2020, 01:38
0.00 руб.
0
2
1
Здравствуйте! Прошу помощи в следующем вопросе:
Найти скорость и ускорение тела при t=1 , которое движется по закону s=2t^3+5t^2+3t+12.
Найти скорость и ускорение тела при t=1 , которое движется по закону s=2t^3+5t^2+3t+12.
Обсуждение
07.12.2020, 07:28
общий
это ответ
Здравствуйте, svrvsvrv!
Скорость - это производная пути по времени:
V(t) = S'(t) = (2*t³ + 5*t² + 3*t +12)' = 6*t² + 10*t + 3
V(1) = 6*1² + 10*1 + 3 = 6 + 10 + 3 = 19 м/с
Ускорение- это производная скорости по времени:
a(t) = V'(t) = (6*t² + 10*t + 3)' = 12*t + 10
a(1) = 12*1 + 10 = 12 + 10 = 22 м/с^2
Скорость - это производная пути по времени:
V(t) = S'(t) = (2*t³ + 5*t² + 3*t +12)' = 6*t² + 10*t + 3
V(1) = 6*1² + 10*1 + 3 = 6 + 10 + 3 = 19 м/с
Ускорение- это производная скорости по времени:
a(t) = V'(t) = (6*t² + 10*t + 3)' = 12*t + 10
a(1) = 12*1 + 10 = 12 + 10 = 22 м/с^2
5
Благодарю!
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