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A police jeep is chasing with, velocity ...

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.

A

150 m/s

B

27 m/s

C

450 m/s

D

250 m/s

Text Solution

Verified by Experts

The correct Answer is:
A
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)=42.5(m)/(s)`
Velocity of bullet w.r.t thief's car`=192.5-42.5=150(m)/(s)`
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