Mastering Physics: Time is Relative

Part A

Two events are observed in a frame of reference S to occur at the same space point, with the second event occurring after a time of 1.70 . In a second frame S' moving relative to S, the second event is observed to occur after a time of 2.25 . What is the difference between the positions of the two events as measured in S'? Use 3.00×108  for the speed of light in a vacuum. ANSWER:    = 4.42×108   Do not be tempted to interpret the distance that you have just calculated as the distance traveled by the moving frame S' in the time elapsed between the two events as measured by an observer in S. An observer in S would measure a distance equal to , where is the relative speed of the two reference frames and is the time between events in S.