In: Physics
Bob recently acquired a rocket sled of his own and decides to race alice in a weird way. They will both begin at the starting line and will each travel in opposite directions to one of the two finish lines each located 1.6*10^9 m away from the start. They have requested that you observe to determine the winner. In your reference frame, you see them both cross the finish line at t=12 seconds. (Note that this means they crossed the finish line sooner than this). In your reference frame, this race was a tie. Do Alice and bob agree with your decision? If not, who do each say won? by how much?