Along a straight road, two cars are found exactly next to ea s shown below, at that moment, one car is moving with c n instantaneous speed vo and accelerates at a constant ra n in the sketch below.

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Along a straight road, two cars are found exactly next to each other at a specific instance
in time. As shown below, at that moment, one car is moving with constant speed 2vo, while the
other has an instantaneous speed vo and accelerates at a constant rate a. Work in the reference
1.
frame shown in the sketch below.
Car #1
Speed 2vo (constant)
+x
Car #2
Initial speed vo
Acceleration a
x= 0
(a)
your answer in terms of the known constants vo, and a.
What are the positions of the two cars when they both have the same speed? Express
(b)
same horizontal position again. What is the position of the two cars when this happens?
At some point, the accelerating car will catch up and the two cars will be at the
Sketch plots of the position x and velocity vx VS. time. On each plot the motion of
(c)
both cars should be shown.
Transcribed Image Text:Along a straight road, two cars are found exactly next to each other at a specific instance in time. As shown below, at that moment, one car is moving with constant speed 2vo, while the other has an instantaneous speed vo and accelerates at a constant rate a. Work in the reference 1. frame shown in the sketch below. Car #1 Speed 2vo (constant) +x Car #2 Initial speed vo Acceleration a x= 0 (a) your answer in terms of the known constants vo, and a. What are the positions of the two cars when they both have the same speed? Express (b) same horizontal position again. What is the position of the two cars when this happens? At some point, the accelerating car will catch up and the two cars will be at the Sketch plots of the position x and velocity vx VS. time. On each plot the motion of (c) both cars should be shown.
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