8. The brakes applied to a car produces an acceleration of 5 m/sec sq , in the opposite direction of motion . If the car takes 2 sec to stop after the application of brakes, what is the distance it travels during this time ? *
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8. The brakes applied to a car produces an acceleration of 5 m/sec sq , in the opposite direction of motion . If the car takes 2 sec to stop after the application of brakes, what is the distance it travels during this time ? *
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Answer:
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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