Question

A police jeep on a petrol duty on national highway was moving with a speed of 54km/hr. in the same direction. It finds a thief rushing up in a car at a rate of 126km/hr in the same direction. Police sub – inspector fired at the car of the thief with his service revolver with a muzzle speed of 100m/s. with what speed will the bullet hit the car of thief?

CLASS - XI PHYSICS (Kinematics)

Answer 1

Speed of police jeep = speed of gun = 54 km/h = 15m/s
muzzle speed = relative speed of bullet wrt police jeep = 100 m/s
velocity of bullet = 100+15 = 115m/s

velocity of thief = 126km/h = 35m/s
relative velocity of bullet wrt thief = 115-35 = 80 m/s
So bullet will hit the car of thief at a velocity 80 m/s

Answer 2

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Speed of the police van,

v(p) = 30 km/h = 8.33 m/s

Muzzle speed of the bullet,

v(b) = 150 m/s

Speed of the thief’s car,

v(t )= 192 km/h = 53.33 m/s

Since the bullet is fired from a moving van, its resultant speed can be obtained as: = 150 + 8.33 = 158.33 m/s

Since both the vehicles are moving in the same direction, the velocity with which the bullet hits the thief’s car can be obtained as: v(bt) = v(b) – v(t)= 158.33 – 53.33 = 105 m/s

I hope, this will help you

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