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Question

Two cars A and B are travelling in the same direction with velocities v1 and v2(v1>v2) When the car A is at a distance d ahead of the car B, the driver of the car A applied the brake producing a uniform retardation a. There will be no collision when

A
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B
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C
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D
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Solution

The correct option is C

Initial relative velocity =v1v2, final relative velocity=0

From v2=u22as0=(v1v2)22×a×s

s=(v1v2)22a

If the distance between two cars 's' then collision will take place.To avoid collision d>s

d>(v1v2)22a

where d=actual initial distance between two cars.


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