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Homework Statement
OK, so spaceship A and spaceship B are at the same location. Spaceship A sets off (instantaneously) at a speed vA[tex]\approx[/tex]c, traveling in a straight line towards the finish line, which will take him a time tA.
After a time [tex]\frac{tA}{2}[/tex] (in spaceship B's frame of reference), spaceship B sets off towards the finish line at a speed vB[tex]\approx[/tex]c, which will get him there in a time [tex]\frac{tA}{2}[/tex] (in his frame of reference).
Who, if anybody, wins the race?
Homework Equations
I'm not sure if equations are actually needed here as this is kind of a thought experiment.
The Attempt at a Solution
I have thought about this for a long time and can't come to a conclusion.