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Does the bullet reach its target?

  1. Feb 12, 2016 #1
    1. The problem statement, all variables and given/known data
    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?

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

    3. 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.
     
  2. jcsd
  3. Feb 12, 2016 #2

    BvU

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    Please show your calculations in both cases
     
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