An object moves along a straight line in such a way that its position at time t is given by

a. Find the velocity v(t) and the acceleration a(t), and then use a graphing utility to graph s(t), v(t), and a(t) on the same axes for 0 ≤ t ≤ 2.

b. Use your calculator to find a time when v(t) = 0 for 0 ≤ t ≤ 2. What is the object’s position at this time?

c. When does the smallest value of a(t) occur? Where is the object at this time and what is its velocity?

s(t) 15/2(0.731 - 3.1t+2.7) for 0 t 2