rts from rest, then accelerates at a constant rate over a distance of 73 m. It then immediately decelerates at a constant rate over a distance of 138 m. The entire trip lasts a total duration of 14.1 s. What were the magnitudes of the car s accelerations for the speedup and slowdown stages respectively?     9.79 m/s^2, then 5.18 m

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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  1. A car starts from rest, then accelerates at a constant rate over a distance of 73 m. It then immediately decelerates at a constant rate over a distance of 138 m. The entire trip lasts a total duration of 14.1 s. What were the magnitudes of the car s accelerations for the speedup and slowdown stages respectively?
       
    9.79 m/s^2, then 5.18 m/s^2
       
    6.14 m/s^2, then 3.25 m/s^2
       
    5.18 m/s^2, then 9.79 m/s^2
       
    2.12 m/s^2, then 2.12 m/s^2
Expert Solution
Step 1

We know that the car starts from rest and accelerates with an acceleration of a  m/s2. and travel a distance of x = 73 m and after that immediately decelerates at a constant rate over a distance of x2 = 138 m.

The total time of this trip is t = 14.1 sec

let the car take to travel a distance x1, is t1 and travel a distance x2 in a t2 time.  

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