An observer P stands on a train station platform as a high-speed train passes by at u/c=0.8. The observer P, who measures the platform to be 60 m long, notices that the front and back ends of the train line up exactly with the ends of the platform at the same time.
(a) How long does it take the train to pass P as he stands on the platform, as measured by his watch?
(b) According to a rider T on the train, how long is the train?
(c) According to a rider T on the train, what is the length of the train station platform?
(d) According to a rider T on the train, how much time does it take for the train to pass observer P standing on the train station platform?
(e) According to a rider T on the train, the ends of the train will not simultaneously line up with the ends of the platform. What time interval does T measure between when the front end of the train lines up with the front end of the platform, and when the back end of the train lines up with the back end of the platform?