A playground is on the flat roof of a city school, h = 5.90 m above the street below (see figure). The vertical wall of the building is h = 7.20 m high, to form a 1.3-m-high railing aroundthe 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 thebuilding 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.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

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Description: A playground is on the flat roof of a city school, h = 5.90 m above the street below (see figure). The vertical wall of the building is h = 7.20 m high, to form a 1.3-m-high railing aroundthe playground. A ball has fallen to the street below, and a

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College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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A playground is on the flat roof of a city school, h = 5.90 m above the street below (see figure). The vertical wall of the building is h = 7.20 m high, to form 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 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 wall.
(a) Find the speed at which the ball was launched.
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

Expert Solution

Step 1

Given:-

A flat roof of a city school is h_b = 5.90 m above the street below.

The vertical height of the wall is h = 7.20 m

The height of the railing around the playground is 1.3 m

The ball launched at an angle of $θ =$ 53^o above the horizontal.

The distance between the launching point and to the base of the building is d = 24.0 m.

Find:-

a) The speed at which the ball launched?

b) The vertical distance by which the ball clears the wall

c) The horizontal distance from the wall to the point on the roof where the ball lands

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