Question

Two cars A and B are travelling in the same direction with velocities Va and VB (VA> VB). When the
car A is at a distance s behind the car B, the driver of the car A applies the brakes producing a uniform
retardation a, there will be no collision when:
(a) s< (V. - V.)/2a
(b) s= (V. - Vo)/2a
(c)2 (V. - Vo)/2a
(d)ss (A - Vo)/2a

Answer 1

c option is correct

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Answer 2

Answer:

Solution :

Let the distance between the can be S so that they collide .

Initial relative velocity - V1−V2V1−V2

Final relative velocity =0

We have V2=u2−2asV2=u2−2as

=> 0=(V1−V2)2−2as0=(V1−V2)2−2as

If the distance between two cars is 's' then collision takes place.

To avoid collision d>sd>s

∴d>(V1−V2)22a∴d>(V1−V2)22a

Answer : d>(V1−V2)22ad>(V1−V2)22a