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A police van moving on a high way with a speed of 30km/h fires a bullet at a thief’s car speeding away in the same direction with a speed of 192km/h. If the speed of the bullet with respect to police Van is 150m/s, with what relative speed does the bullet hit the thief’s car?

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a

90 m/s

b

105 m/s

c

110 m/s

d

120 m/s

answer is B.

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Detailed Solution

1. The speed of the bullet with respect to policevBP=150 m/s, Speed of police vanvP=30km/h=30×518m/s=8.3m/s⇒vBP=vB−vPvB=vBP+vP=(150m/s+8.3m/s)=158.3m/s.vT=192km/h=192×518m/s=53.3m/s⇒vBT=vB−vT=(158.3−53.3)m/s=105m/sTherefore, the correct answer is (B).

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A police van moving on a high way with a speed of 30km/h fires a bullet at a thief’s car speeding away in the same direction with a speed of 192km/h. If the speed of the bullet with respect to police Van is 150m/s, with what relative speed does the bullet hit the thief’s car?