## Question:

For a short time the arm of the robot is extending at a constant rate such that $\dot {r}$ = 1.5 ft/s when r = 3 ft , z = (4${t}^{2}$) ft , and $\theta$ =0.5t rad , where t is in seconds. Determine the magnitudes of the velocity and acceleration of the grip A when t = 3 s.