World Science Scholars
20.7 Coordinates for Time
Problem

## Coordinates for Time—Problem 1

A train moving at a velocity $v = 0.5c$ goes through a tunnel. From the perspective of the tunnel, the Lorentz contracted length of the train equals the length of the tunnel itself. For the tunnel’s frame of reference we use coordinates $(t,x)$. Assume that the front of the train enters the tunnel at $(t = 0,x = 0)$. Moreover, assume that the length of the tunnel and the Lorentz contracted length of the train are both 300 feet.

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