Chapter 3, Problem 33AP

### 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

# A boy throws a baseball onto a roof and it rolls back down and off the roof with a speed of 3.75 m/s. If the roof is pitched at 35.0° below the horizon and the roof edge is 2.50 m above the ground, find (a) the time the baseball spends in the air, and (b) the horizontal distance from the roof edge to the point where the baseball lands on the ground.

(a)

To determine
The time the baseball spends in air.

Explanation

As the baseball falls down, the y component of the initial velocity is,

v0y=v0sinÎ¸0

Here,

v0 is the initial velocity

Î¸0 is the initial angle of projection

Substitute 3.75â€‰m/s for v0 and âˆ’35.0Â° for Î¸0 .

v0=(3.75â€‰m/s)sin(âˆ’35.0Â°)=âˆ’2.15â€‰m/s

The final velocity is,

vy2=v0y2âˆ’2gÎ”yvy=v0y2âˆ’2gÎ”y

Here,

vy is the vertical velocity

v0y is the vertical component of the initial velocity

g is the acceleration due to gravity

Î”y is the vertical displacement

The final velocity vy will be negative because the baseball is falling downwards

(b)

To determine
The horizontal distance from the roof edge to the point where the baseball lands in the ground.

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