applies the brakes and accelerates uniformly in the opposite direction. The car stops in 5 s. Another driver going at 3 km 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 
unit into m 
unit.
For first car:
Initial velocity 
Final velocity, 
Time taken, 
For second car :
Initial velocity, 
Final velocity,
Time taken, 
The distance travelled by a moving body is given by the area under its speed-time graph.
So,
Distance travelled by the first car = Area of the triangle 
Similarly,
Distance travelled by the second car = Area of triangle COD
Thus, the second car travels 4.1 m and the first car travels 36 m before coming to rest. So, the second car travelled farther after the brakes were applied.
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