car starts from rest, then accelerates at a constant rate over a distance of 76 m. It then immediately decelerates at a constant rate over a distance of 123 m. The entire trip lasts a total duration of 21.6 s. What were the magnitudes of the car s ac
car starts from rest, then accelerates at a constant rate over a distance of 76 m. It then immediately decelerates at a constant rate over a distance of 123 m. The entire trip lasts a total duration of 21.6 s. What were the magnitudes of the car s ac
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 2.2OQ: A racing car starts from rest at t = 0 and reaches a final speed at time t. II the acceleration of...
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A car starts from rest, then accelerates at a constant rate over a distance of 76 m. It then immediately decelerates at a constant rate over a distance of 123 m. The entire trip lasts a total duration of 21.6 s. What were the magnitudes of the car s accelerations for the speedup and slowdown stages respectively?
A 0.85 m/s^2, then 0.85 m/s^2B 5.69 m/s^2, then 3.52 m/s^2C 2.23 m/s^2, then 1.38 m/s^2D 3.52 m/s^2, then 5.69 m/s^2
Expert Solution
Step 1
we know that let the initial velocity of the car is u and the car is accelerated with the constant rate of a1 and travel a distance x1 in the time t1 and then immediately car decelerates at a constant rate a2 and travel a distance x2 in the time t2 and stop finallly .
We know that the first equation of motion is given as
The third euqtaion of motion is given as
here s is the distance travel by the car.
Now by useing these two formula we get the answer to this question as
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