A playground is on the flat roof of a city school, 6.00m above the street below (figure). The vertical wall of the building is h= 7.00m high, to form a 1-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 theta=53 degrees above the horizontal at a point d=24m from the base of the building wall. The ball takes 2.20s to reach a point vertically above the wall. (a) Find the speed at which the ball was launched. (b) Find the vertical distance by which the ball clears the wall. (c) Find the horizontal distance from the wall to the point on the roof where the ball lands.

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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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A playground is on the flat roof of a city school, 6.00m above the street below (figure). The vertical wall of the building is h= 7.00m high, to form a 1-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 theta=53 degrees above the horizontal at a point d=24m from the base of the building wall. The ball takes 2.20s to reach a point vertically above the wall. (a) Find the speed at which the ball was launched. (b) Find the vertical distance by which the ball clears the wall. (c) Find the horizontal distance from the wall to the point on the roof where the ball lands.

34. A playground is on the flat roof of a city school, 6.00 m
above the street below (Fig. P3.34). The vertical wall of
the building is h = 7.00 m high, to form a l-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 0 = 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
%3D
wall. (a) Find the speed at which the ball was launched.
(b) Find the vertical distance by which the ball clears
the wall. (c) Find the horizontal distance from the wall
to the point on the roof where the ball lands.
d.
Figure p 3.34
Transcribed Image Text:34. A playground is on the flat roof of a city school, 6.00 m above the street below (Fig. P3.34). The vertical wall of the building is h = 7.00 m high, to form a l-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 0 = 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 %3D wall. (a) Find the speed at which the ball was launched. (b) Find the vertical distance by which the ball clears the wall. (c) Find the horizontal distance from the wall to the point on the roof where the ball lands. d. Figure p 3.34
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