Question: An object moves along a line in such a way that its position at time t is given by s(t) = 2t 3 3t

An object moves along a line in such a way that its position at time t is given by s(t) = 2t3 − 3t2 + 2 for t ≥ 0.

a. Find the velocity v(t) and acceleration a(t) of the object.

b. When is the object stationary? When is it advancing? Retreating?

c. What is the total distance traveled by the object for 0 ≤ t ≤ 2?

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