Chapter 3, Problem 8P

### 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

# One of the fastest recorded pitches in major league baseball, thrown by Tim Lincecum in 2009, was clocked at 101.0 mi/h (Fig. P3.8). If a pitch were thrown horizontally with this velocity, how far would the ball fall vertically by the time it reached home plate, 60.5 ft away?Figure P3.8 Tim Lincecum throws a baseball.

To determine
The distance fell by the ball by the time it reached home plate.

Explanation

As the ball is thrown horizontally, the time it takes to reach the home plate is,

t=Î”xv0x

• Î”x is the displacement in the horizontal direction
• v0x velocity of the ball in the horizontal direction

Substitute 101â€‰mi/h for v0x and 60.5â€‰ft for Î”x .

t=(60.5â€‰ft)(1â€‰m3.281â€‰ft)(101â€‰mi/h)(0.447â€‰m/s1â€‰mi/h)=0.408â€‰s

The displacement in the vertical direction is,

Î”y=v0yt+12ayt2

Substitute 0â€‰m/s for v0y , 0

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