A playground is on the fiat roof of My Notes do Ask Your Toe around the playgrou

Question

A playground is on the fiat roof of My Notes do Ask Your Toe around the playground. A ball has a city school, 6, 3 m above the street below (see figure). The vertical wall of the building is h =7.50 m high, forming a 1.2-m-high rating from fallen to the street below, and a passerby returns t by launching it at an angle of theta = 53, 0 degree above the horizontal at a point d = 24.0 m the base of the building wall. The ball takes 2.20 s to reach a point vertically above the wall. at which the ball was launched. (Give your answer to two decimal places to reduce rounding errors in later parts. Find the vertical distance by which the ball clears the wall. Find the horizontal distance from the wall to the point on the roof where the ball lands.

Explanation / Answer

a) 2.2 * cos 53 * V0 = 24

V0 = 18.13 m/s

b) 2.2 * sin 53 * 18.13 - 4.9 (2.2)2

= 8.14 m

The ball is 8.14 feet up = 8.14 - 7.5 = 0.638 m

c) 6.3 = sin 53 * t *18.14 - 4.9 t2

4.9 t2 - 14.49 t + 6.3 = 0

t = 2.43 s

d = cos 53 * 18.14 * 2.43

d = 26.53 m

d - 24 = 2.53 m

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