A 1.50-kg horizontal, uniform tray is attached to a vertical ideal spring of force constant 185 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 15.0 cm below its equilibrium point (call this point A) and released from rest.
(a) 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.)
(b) How much time elapses between releasing the system at point A and the ball leaving the tray?
(c) How fast is the ball moving just as it leaves the tray?