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A playground is on the flat roof of a city school, hb = 5.40 m above...

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Physics

A playground is on the flat roof of a city school, hb = 5.40 mabove the street below (see figure). The vertical wall of thebuilding is h = 6.60 m high, to form a 1.2-m-high railing aroundthe playground. A ball has fallen to the street below, and apasserby returns it by launching it at an angle of θ = 53.0° abovethe horizontal at a point d = 24.0 m from the base of the buildingwall. The ball takes 2.20 s to reach a point vertically above thewall.

A man on the ground kicking a ball to children on a flatrooftop is shown. The distance between the man and the building islabeled d. The height of the left wall of the building is labeledh. The motion of the ball is depicted as a parabola originatingfrom the man on the ground and ending at the rooftop. The vector ofthe initial motion of the ball makes an angle θ with thehorizontal.
(a) Find the speed at which the ball was launched.
m/s

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

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

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