Question:

The box slides down the helical ramp which is defined by r = 0.5 m , $\theta$ =(0.5${t}^{3}$) rad , and z = (2 – 0.2${t}^{2}$) m , where t is in seconds. Determine the magnitudes of the velocity and acceleration of the box at the instant $\theta$ = 2$\pi$ rad .