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Two cars are travelling towards each oth...

Two cars are travelling towards each other on a straight road at velocities `15 m//s` and `16m//s` respectively. When they are 150 m apart both the drivers apply the brakes and the car decelerate at `3 m//s^(2)` and `4 m//s^(2)` until they stop. Separation between the cars when they come to rest is

A

86. 5 m

B

89.5 m

C

85. 5 m

D

80. 5 m

Text Solution

Verified by Experts

The correct Answer is:
D

`v_(1)^(2) - u_(1)^(2) = 2a_(1)s_(1), v_(2)^(2) - u_(2)^(2) - u_(2)^(2) = 2a_(2)s_(2)`
Deltas = s-(s_(1) + s_(2))`
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