A train accelerates uniformly from rest at station A to a maximum speed of 72 km/h. The constant maximum speed is maintained for a period of time and the train then decelerates uniformly until it comes to a stop at station B. The distance between the two railway stations is 22 km and the journey takes 20 minutes. If the magnitude of the acceleration is half that of deceleration, by using the graphical method, determine the acceleration, in meters per second per second, and the time, in minutes, during which the train travels at its maximum speed.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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A train accelerates uniformly from
rest at station A to a maximum speed
of 72 km/h. The constant maximum
speed is maintained for a period of
time and the train then decelerates
uniformly until it comes to a stop at
station B. The distance between the
two railway stations is 22 km and the
journey takes 20 minutes. If the
magnitude of the acceleration is half
that of deceleration, by using the
graphical method, determine the
acceleration, in meters per second
per second, and the time, in minutes,
during which the train travels at its
maximum speed.
Transcribed Image Text:A train accelerates uniformly from rest at station A to a maximum speed of 72 km/h. The constant maximum speed is maintained for a period of time and the train then decelerates uniformly until it comes to a stop at station B. The distance between the two railway stations is 22 km and the journey takes 20 minutes. If the magnitude of the acceleration is half that of deceleration, by using the graphical method, determine the acceleration, in meters per second per second, and the time, in minutes, during which the train travels at its maximum speed.
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