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Question

Brakes applied to a car produces an acceleration of 6 m/^2.if the car takes 2 sec to stop after the application of brakes . Calculate the distance travelled by the car during this time?

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Solution

Acceleration a = -6 m/s^2
Time t = 2 s
Final velocity v = 0 m/s

Let initial velocity be u
Let distance be s

v = u + at
So, 0 = u + (-6)(2)
So, u = 12 m/s

Now, s = ut + (1/2) at^2
So, s = 12(2) + (1/2)(-6)(2^2)
So, s = 24 - 12
So, s = 12 m

Thus, distance travelled is 12 m

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