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Question

Two cars are travelling towards each other on a straight road at velocities 15 m/s and 16 m/s respectively. When they are 150 m apart, both the drivers apply the brakes and the cars decelerate at 3 m/s2 and 4 m/s2 until they stop. Separation between the cars when they come to rest is :

A
86.5m
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B
89.5m
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C
85.5m
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D
80.5m
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Solution

The correct option is D 80.5m
We know, v2=u22as

Given,

Initial velocity of car 1, u1=15 m/s, Acceleration, a=3 m/s2

Initial velocity of car 2, u2=16 m/s, Acceleration, a=4 m/s2

For car 1,

Final Velocity, v1=0 m/s

152=2(3)×s

s1=37.5 m

For car 2,

Final Velocity, v2=0 m/s

162=2(4)×s

s2=32 m

Total displacement,

s1+s2=37.5+32=69.5 m

separation between them,

=15069.5=80.5 m

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