First slide
Relative velocity in 1-d
Question

A thief is running away on a straight road in a jeep moving with a speed of 9 ms-1. A policeman chases him on a motor cycle moving at a speed of 10 m s-1. If the instantaneous separation of the jeep from the motor cycle is 100 m, how long will it take for the policeman to catch the thief?

Moderate
Solution

Relative velocity of policeman w.r.t. the thief is 10 - 9 = 1 m s-1. Since the relative separation between them is 100 m, the time taken will be - relative separation/relative velocity =100/1 = 100 s.

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