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The brakes applied to a car produce an a...

The brakes applied to a car produce an acceleration of `6 ms^(-2)` in the opposite direction to the motion. If the car takes 2 s to stop after the application of brakes, calculate the distance traveled during this time.

Text Solution

Verified by Experts

We have been given `a=-6ms^(-2)`, t=2s and v=0
From the equation of motion,
v=u+at
0=u+(-6 x 2 )
0= u -12 `therefore u=12 ms^(-1)`
`s=ut+1//2 at^2`
`=(12 xx 2) +1//2 (-6 xx 2 xx 2)`
=24-12 = 12 m
Thus , the car will move 12 m before it stops after the application of brakes .
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