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Question -

A driver of a car travelling at 52 km h-1 applies the brakes and accelerates uniformly in the opposite direction. The car stops in 5 s. Another driver going at 3 km h-1 in another car applies his brakes slowly and stops in 10 s. On the same graph paper, plot the speed versus time graphs for the two cars. Which of the two cars travelled farther after the brakes were applied?



Answer -

The data given in this numerical problem are in different units. So, we should first convert km h-1 unit into m s-1 unit.
For first car:
The distance traveled by a moving body is given by thearea under its speed-time graph. so, Distance traveled by the first car=Area ofthe triangle AOB


Similarly, Distance travelled by the second car = Areaof triangle COD
Thus, the second car travels 4.1 m and the first car travels 36m before coming to rest. So, the second car traveled farther after the brakeswere applied.

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