(Solved): The position of the box sliding down the helical ramp is defined by r=0.5m,=(0.5t3)rad, and z=( ...

The position of the box sliding down the helical ramp is defined by $r=0.5\mathrm{m},?=\left(0.5t^3\right)\mathrm{rad}$, and $z=\left(2?0.2t^2\right)\mathrm{m}$, where $t$ is in seconds. Determine the magnitude of the velocity of the box at the instant $?=2?\mathrm{rad}$. Express your answer to three significant figures and include the appropriate units. Part B Determine the magnitude of the acceleration of the box at the instant $?=2?\mathrm{rad}$. Express your answer to three significant figures and include the appropriate units.