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Question

Two cars A and B move such that car A moving with a uniform velocity of 15 ms−1 overtakes car B starting from rest with an acceleration of 3 ms−2. After how much time do they meet again?

A
5s
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B
15s
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C
3s
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D
10s
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Solution

The correct option is D 10s
Let us assume that the car A and B meet after a time t
Distance travelled by A in that time is vt
=15t
Distance travelled by B is
s=ut+12at2
s=3t22
3t22=15t
t=0,10s
t=0 is trivial . Therefore, at t=10s, both the cars meet.

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