A driver of a car travelling at 52 kmh per hour applies the brakes and accelerates uniformly in the opposite direction. The car stops in 5 s. Another driver going at 34 km per hour in another car applies his brakes slowly and stops in 10 sec . plot the speed versus time graphs for the two cars. which of the two cars travelled farther after the brakes were applied?
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(A) : Initial speed of the car A u=52 kmh −1
=52× 185
=14.44 ms −1
The car stops in 5 seconds i.e v=0 at t=5
(A) : Initial speed of the car A u=3 kmh −1
=3× 185
=0.83 ms −1
The car stops in 10 seconds i.e v=0 at t=10
With the help of these initial and final points for both the cases, we can plot the graph of speed vs time.
Area under the speed-time graph gives the distance covered.
∴ Distance covered by car A x
A ×14.44×5=36.1 m
∴ Distance covered by car A x
B ×0.83×10=4.15 m
Thus car A travels more distance than B.
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