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Question

A police jeep travelling at a speed of 45 km/h is chasing a thief's car moving at a speed of 153 km/h. If police fire a bullet with a muzzle velocity of 180 m/s, the velocity with which it strikes the thief's car is

A
54 m/s
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B
150 m/s
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C
450 m/s
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D
250 m/s
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Solution

The correct option is B 150 m/s
Effective speed of the bullet, Vb= muzzle velocity + speed of police jeep
Vb=180 m/s+45 km/h
Vb=180 m/s+12.5 m/s
Vb=192.5 m/s
Speed of thief, Vt=153 km/h=42.5 m/s
Velocity of bullet w.r.t. thief's car,
Vb,t=VbVt
Vb,t=192.542.5=150 m/s

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