Question

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?

Answer 1

15 m/s

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.