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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?

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Speed of the police jeep = 54km/h=15m/s

Muzzle speed of the revolver hit by the police=100m/s

Total velocity of the bullet= Speed of the car + muzzle speed= 100m/s + 15m/s= 115m/s

Velocity of the thief’s car= 126km/h= 126x 5/18= 35m/s

Relative velocity of the bullet with respect to thief=Total velocity of the bullet – Velocity of the thief’s car= 115m/s – 35m/s= 80m/s

So bullet will hit the car of the thief at a velocity 80 m/s

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