An object moves along a straight line with velocitya. Find the acceleration a (t) of the o...

An object moves along a straight line with velocity

a. Find the acceleration a (t) of the object at time t.

b. When is the object stationary for 0 ≤ t ≤ 5? Find the acceleration at each such time.

c. When is the acceleration zero for 0 ≤ t ≤ 5? Find the velocity at each such time.

d. Use the graphing utility of your calculator to draw the graphs of the velocity v(t) and acceleration a (t) on the same screen.

e. The object is said to be speeding up when v (t) and a (t) have the same sign (both positive or both negative). Use your calculator to determine when (if ever) this occurs for 0 ≤ t ≤ 5.