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.

Transcribed Image Text:

v(t) = (2t + 9)²(8 - 1)³ for 0 ≤ t ≤ 5