King Arthur's knights fire a cannon from the top of the castle wall. The cannonball is fired at a speed of 54 m/s and an angle of 32^\circ above horizontal. A cannonball that was accidentally dropped hits the moat below in 1.6 s.
a) How far from the castle wall does the cannonball hit the ground?
b) What is the ball's maximum height above the ground? Assume that the height of the ground is the same as the moat.