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.

Options

A. `150 m//s`
B. `27 m//s`
C. `450 m//s`
D. `250 m//s`

Answer

A

Explanation

(a): Velocity of police jeep , `v_(p)=45km//h=12.5m//s`
Velocity of thied.s car, `v_(t)=153km//h=42.5m//s`
Velocity of bullet, `v_(b)=180m//s`
The velocity of bullet which is fired from police jeep ,
`v_("bp")=180+12.5=192.5m//s`
Velocity with which bullet will hit the theif,s car
`=192.5-42.5`
`u_("bt")=150m//s`