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Question

A car moving at a speed u is stopped in a certain distance when the brakes produce a deceleration a. If the speed of the car is nu, what must be the deceleration of the car to stop it in the same distance?


A

na

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B

na

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C

n2a

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D

n3a

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Solution

The correct option is C

n2a


From the third equation of motion, v2=u22as
0=u22as
s=u22a
So, the distance over which the car is stopped is given by s=u22a.
If initial velocity is nu, let the value deceleration to stop the car in the same distance be a.
02=(nu)22as0=n2u22a(u22a)a=n2a
Hence, the correct choice is (c).


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