HARD PHYSICS

A playground is on the flat roof of a city school, 5.7 m above the street below (see figure). The vertical wall of the building is h = 7.10 m high, to form a 1.4-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 θ = 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.

Find the speed at which the ball was launched.
m/s

Find the vertical distance by which the ball clears the wall.
m

Find the horizontal distance from the wall to the point on the roof where the ball lands.
m

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