a body moves in a straight line according to the law s=24t+3t^2 - t^3, where is the distance measured in meters from the origin and t is the timei in seconds after it starts to move. What is the velocity of the body when t = 3 seconds?

Question

Mathematics

Alissa Mendez

13 April, 15:41

a body moves in a straight line according to the law s=24t+3t^2 - t^3, where is the distance measured in meters from the origin and t is the timei in seconds after it starts to move. What is the velocity of the body when t = 3 seconds?

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Answers (1)

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Karson Burch · Answer 1

15 m/s

Step-by-step explanation:

Velocity is the derivative of position:

v (t) = s' (t) = 24 + 6t - 3t^2

v (3) = 24 + 3 (6 - 3·3) = 15

At t=3 seconds, the velocity of the body is 15 m/s.