   Chapter 2, Problem 37P

Chapter
Section
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 20m/s , the final velocity of the train is 0 , and the acceleration of the train is 1.0m/s2 .

Explanation:

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

t=vv0a

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 , 20m/s for v0 , and 1.0m/s2 for a to find t .

t=0(20m/s)2(1.0m/s2)=20s

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

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