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Q.

A policeman moving on a highway with a speed of 30 kmh-1 fires a bullet at thief's car speeding away in the same direction with a speed of 192 kmh-1. If the muzzle speed of the bullet is 150 ms-1, with what speed does the bullet hit the thief's car?

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a

120 ms-1

b

90 ms-1

c

125 ms-1

d

105 ms-1

answer is D.

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Detailed Solution

Velocity of police van =30×518=253ms−1Muzzle speed of the bullet = 150 ms-1 Speed of the bullet w.r.t. ground = [150 + (25/3)]ms-1 Velocity of thief's car is      192×518=32×53=1603ms−1Relative velocity of bullet w.r.t. thief's car is     150+253−1603=150−1353=105ms−1
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