Alice and Bob are passengers in a high-speed train moving at a uniform speed of v = c/2. Alice is at the rear of the train car and Bob is at the front of the car. The length of the car measured in their frame is L'. Alice throws a ball to Bob at speed u' = c/3.
a) In the frame of the train, how long does it take the ball to reach Bob?
b) In the frame of the station, how long does it take the ball to reach Bob?
c) In the frame of the ball, how long does it take the ball to reach Bob?
d) Verify that the proper time between Alice throwing the ball and Bob receiving it is the same in all three frames.
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Alice and Bob are passengers in a high-speed train moving at a uniform speed of v = c/2. Alice is at...
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