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
B
89.5m
C
85.5m
D
80.5m
Solution
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#### We know, v2=u2−2asGiven, 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/s2For car 1,Final Velocity, v1=0 m/s−152=−2(3)×s∴s1=37.5 mFor car 2,Final Velocity, v2=0 m/s−162=−2(4)×s∴s2=32 mTotal displacement,s1+s2=37.5+32=69.5 m∴ separation between them,=150−69.5=80.5 m

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