A car starts from rest, then accelerates at a constant rate over a distance of 72 m. It then immediately decelerates at a constant rate over a distance of 141 m. The entire trip lasts a total duration of 13.7 s. What were the magnitudes of the car s accelerations for the speedup and slowdown stages respectively? O 6.71 m/s^2, then 3.43 m/s^2 5.26 m/s^2, then 10.29 m/s^2

University Physics Volume 1
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ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter3: Motion Along A Straight Line
Section: Chapter Questions
Problem 42P: An airplane, starting from rest, move down the runway at constant for 18 s and then takes off at a...
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A car starts from rest, then accelerates at a constant rate over a distance of 72 m. It then immediately decelerates at a constant rate over a distance of 141 m. The entire trip lasts a total duration of 13.7 s. What were the magnitudes of the car s accelerations for the speedup and slowdown stages respectively?

A car starts from rest, then accelerates at a constant rate over a distance of 72 m. It then immediately decelerates at a constant rate
over a distance of 141 m. The entire trip lasts a total duration of 13.7 s. What were the magnitudes of the car s accelerations for the
speedup and slowdown stages respectively?
O 6.71 m/s^2, then 3.43 m/s^2
5.26 m/s^2, then 10.29 m/s^2
2.27 m/s^2, then 2.27 m/s^2
10.29 m/s^2, then 5.26 m/s^2
Transcribed Image Text:A car starts from rest, then accelerates at a constant rate over a distance of 72 m. It then immediately decelerates at a constant rate over a distance of 141 m. The entire trip lasts a total duration of 13.7 s. What were the magnitudes of the car s accelerations for the speedup and slowdown stages respectively? O 6.71 m/s^2, then 3.43 m/s^2 5.26 m/s^2, then 10.29 m/s^2 2.27 m/s^2, then 2.27 m/s^2 10.29 m/s^2, then 5.26 m/s^2
Expert Solution
Step 1

Given 

Initial velocity u = 0 

Distance travelled during acceleration = 72 m 

Distance covered during deacceleraration = 141 m 

Total time taken = 13.7 s  

Area under velocity time graph represents displacement. 

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