Two passenger trains A and B, each 220 m long, pass a 50 m long railroad platform in Winnepeg. The trains are moving in opposite directions at equal speeds of 0.670c with respect to the ground. Train A is traveling west and all tracks are perfectly straight. The Winnepeg stationmaster, knowing the speed of train A, measures its length as it passes him by measuring the difference between the arrival times of the front of the train and the rear of the train.
A) How long does the train seem to be?
B) What is the difference in arrival times?
C) A passenger on train A measures the length of the Winnepeg platform by a similar method. How long does she take to travel from one end of the platform to the other?
D) From the point of view of a passenger on train A, how fast is train B moving? (Give your answer as a fraction of the speed of light, e.g. if you get 0.952c, you enter 0.952.)
E) How long does it take train B to pass the passenger on train A?
F) According to clocks in the station and on both trains it is exactly 12:00 noon when both trains arrive in Winnepeg. How many seconds later should the stationmaster in Vancouver, 1900 km to the west, expect train A to arrive?
G) How long will the trip from Winnipeg to Vancouver take according to a clock on train A?