The brakes are applied to a car to produce an acceleration of 12 ms-2 in the opposite direction of motion. If the car takes 4 seconds to stop, calculate the distance travelled by the car in this time interval.
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Answer:
Explanation:
Acceleration a = -12 m/s^2
Time t = 4 s
Final velocity v = 0 m/s
Let initial velocity be u
Let distance be s
v = u + at
So, 0 = u + (-12)(4)
So, u = 48 m/s
Now, s = ut + (1/2) at^2
So, s = 48(2) + (1/2)(-12)(4^2)
So, s = 96+(-6)(16)
So, s = 96-96 m
So, s=0m
Thus, distance travelled is 0 m
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