Chapter 2, Problem 37P

### 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 train is traveling down a straight track at 20 m/s when the engineer applies the brakes, resulting in an acceleration of −1.0 m/s2 as long as the train is in motion. How far does the train move during a 40-s time interval starting at the instant the brakes are applied?

To determine
The stopping distance.

Explanation

Given Info: The initial velocity of the train is 20â€‰m/s , the final velocity of the train is 0 , and the acceleration of the train is âˆ’1.0â€‰m/s2 .

Explanation:

The formula used to calculate the time required to stop the train is,

t=vâˆ’v0a

Here,

t is the time required to stop the train

v is the final velocity of the train

v0 is the initial velocity of the train

a is the acceleration of the train

Substitute 0 for v , 20â€‰m/s for v0 , and âˆ’1.0â€‰m/s2 for a to find t .

t=0âˆ’(20â€‰m/s)2(âˆ’1.0â€‰m/s2)=20â€‰s

Thus, the train stops in first 20â€‰s and stays at rest for the next 20â€‰s . The train has constant acceleration for first 20â€‰s

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