A playground is on the flat roof of a city school, 5.3 m above the street below (see figure). The vertical wall of the building is h = 6.60 m high, forming a 1.3-m-high railing around the playground. A ball has fallen to the street below, and a passerby returns it by launching it at an angle of ? = 53.0°; above the horizontal at a point d = 24.0 m from the base of the building wall. The ball takes 2.20 s to reach a point vertically above the wall.

(a) Find the speed at which the ball was launched. (Give your answer to two decimal places to reduce rounding errors in later parts.)

m/s

(b) Find the vertical distance by which the ball clears the wall.

m

(c) Find the horizontal distance from the wall to the point on the roof where the ball lands.

m