The roof of a two-story house makes an angle of 29° with the horizontal. A ball rolling down the roof rolls off the edge at a speed of 4.5 m/s. The distance to the ground from that point is 8.2 m.
(a) How long is the ball in the air?
(b) How far from the base of the house does it land?
(c) What is its velocity just before landing? (Let upward be the positive y-direction.)