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 ms^(-1)`
B. `27 ms^(-1)`
C. `450 ms^(-1)`
D. `250 ms^(-1)`

Answer

A

Explanation

Let `upsilon_(PG)` = velocity of police w.r.t. ground
`upsilon_(TG)` =velocity of thief w.r.t. ground
`upsilon_(TP)` = velocity of thief w.r.t. police `=upsilon_(TG)-upsilon_(PG)`
`=((153-45)/(18))xx5=30 ms^(-1)`
`upsilon_(BC)` = velocity of bullet w.r.t. car
`=180-30=150 ms^(-1)`