Chapter 3, Problem 43AP

### 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 home run is hit in such a way that the baseball just clears a wall 21 m high, located 130 m from home plate. The ball is hit at an angle of 35° to the horizontal, and air resistance is negligible. Find (a) the initial speed of the ball, (b) the time it takes the ball to reach the wall, and (c) the velocity components and the speed of the ball when it reaches the wall. (Assume the ball is hit at a height of 1.0 m above the ground.)

(a)

To determine
The initial speed of the ball.

Explanation

At time t , the ball must be

Î”y=21â€‰mâˆ’1.0â€‰m=20.0â€‰m

Above its launch position.

So, the equation Î”y=v0yt+12ayt2 becomes

Î”y=v0sinÎ¸(Î”xv0cosÎ¸)+12ay(Î”xv0cosÎ¸)2

Here,

v0 is the initial velocity

Î¸ is the angle of projection

ay is the vertical acceleration

Î”x is the horizontal displacement

Substitute 130â€‰m for Î”x , âˆ’9.80â€‰m/s2 for ay , 20â€‰m for Î”y and 35.0Â° for Î¸ .

20â€‰m=v0sin35

(b)

To determine
The time it takes the ball to reach the wall.

(c)

To determine
The velocity components and the speed of the ball as it reaches the wall.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started