An express train passes through a station that is 212 m long. It enters with an initial speed of 22.5 m/s and decelerates at a rate of 0.13 m/s2 as it goes through. During what time interval, in seconds, is the front of the train within the station? If the train is 120 m long, how long, in seconds, after the front of the train enters the station does the end of the train leave the station? What is the velocity of the end of the train as it leaves in m/s?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 47P: Liz rushes down onto a subway platform to find her train already departing. She stops and watches...
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An express train passes through a station that is 212 m long. It enters with an initial speed of 22.5 m/s and decelerates at a rate of 0.13 m/s2 as it goes through.

During what time interval, in seconds, is the front of the train within the station? 

If the train is 120 m long, how long, in seconds, after the front of the train enters the station does the end of the train leave the station?

  What is the velocity of the end of the train as it leaves in m/s? 

Expert Solution
Step 1

length of station (L)= 212 m Initial speed of train (u) = 22.5 msacceleration (a)= -0.13 ms2

 

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