A police jeep is chasing with, velocity of

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A police jeep is chasing with, velocity of $45\, km/h$ a thief in another jeep moving with velocity $153\, km/h$. Police fires a bullet with muzzle velocity of $180 \,m/s$. The velocity it will strike the car of the thief is........$m/s$

A

$150 $

B

$27$

C

$450$

D

$250 $

A police jeep is chasing with, velocity of $45\, km/h$ a thief in another jeep moving with velocity $153\, km/h$. Police fires a bullet with muzzle velocity of $180 \,m/s$. The velocity it will strike the car of the thief is........$m/s$

Effective speed of the bullet = speed of bullet + speed of police jeep

$ = 180\;m/s + 45\;km/h = (180 + 12.5)\;m/s = 192.5\;m/s$

Speed of thief ’s jeep $ = 153\,km/h = 42.5m/s$

Velocity of bullet w.r.t thief ’s car $ = 192.5 - 42.5$

$=150\,m/s$