A $1\mathrm{.}00$ kg $,$ horizontal, uniform tray is attached to a vertical ideal spring of force constant $190$ N$/$m and a $275$ g metal ball is in the tray. The spring is below the tray, so it can oscillate up$-$and$-$down. The tray is then pushed down $12\mathrm{.}2$ cm below its equilibrium point $($call this point A $)$ and released from rest. How high above point A will the tray be when the metal ball leaves the tray? $($Hint: This does not occur when the ball and tray reach their maximum speeds.$)$ Express your answer with the appropriate units. How much time elapses between releasing the system at point A and the ball leaving the tray?How fast is the ball moving just as it leaves the tray? Express your answer with the appropriate units.