An elevator starts from rest and moves upward, accelerating at a rate of 4 ft/s2 until it reaches a speed of 24 ft/s, which it then maintains. Two seconds after the elevator begins to move, a man standing 40 ft above the initial position of the top of the elevator throws a ball upward with an initial velocity of 64 ft/s. Determine when the ball will hit theelevator.

40 ft