An object moves along a straight line in such a way that its position at time t is given by s (t) = t5/2(0.73t2 −3.1t+2.7) for 0 ≤ t ≤ 2
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?
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