Does the bullet reach its target?

[cosmos42]

Homework Statement

As outlaws escape in their getaway car, which goes 3/4c, the police officer fires a bullet from a pursuit car, which only goes 1/2c. The muzzle velocity of the bullet (relative to the gun) is 1/3c. Does the bullet reach its target according to Galileo? According to Einstein?

Homework Equations

Velocity addition
Lorentz factor
u=(v+u')/(1+(vu'/c^2))
u'=(u-v)/(1-(uv/c^2))
u'=u-v

The Attempt at a Solution

I said yes, the bullet reaches the target in both situations because each time I got a velocity greater than 0.75c, the velocity of the outlaw's car.

 

[BvU]

Please show your calculations in both cases