Chapter 3, Problem 14P

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

# From the window of a building, a ball is tossed from a height y0 above the ground with an initial velocity of 8.00 m/s and angle of 20.0° below the horizontal. It strikes the ground 3.00 s later, (a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity, (c) Find the equations for the x- and y-components of the position as functions of time, (d) How far horizontally from the base of the building does the ball strike the ground? (e) Find the height from which the ball was thrown, (f) How long does it take the ball to reach a point 10.0 m below the level of launching?

(a)

To determine
The initial coordinates of the ball.

Explanation

Ball is initially at a height y0 from the ground.

As the origin is at the ground level, the x coordinate of the ball is zero.

The ball is at a height y0 from the ground

(b)

To determine
The x and y components of the initial velocity.

(c)

To determine
The equations for the x and y components of the position as functions of time.

(d)

To determine
The horizontal distance from the base where the ball strikes.

(e)

To determine
The height from which the ball was thrown.

(f)

To determine
The time taken for the ball to reach a point 10.0m below the level of launching.

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