1. The problem statement, all variables and given/known data
Lights are placed at points A and B, which are 100m apart as measured in the rest frame of the earth. As a rocket moving at speed v = 3/5c, passes point A the light turns on. As the rocket passes point B, the second light turns on.
As read on the rockets clock, the time difference between the events was #916;tr. Clocks synchronized in the rest frame of the earth measure a time interval #916;te between the events.
a) Determine #916;te.
b) Determine #916;tr using time dilation.
2. Relevant equations
#916;te = d/v (where d = 100m)
#916;tr = 1/sqrt(1-(v/c)^2)#916;te3. The attempt at a solution
#916;te = 5.56 x 10^(-7) s
#916;tr = 6.94 x 10^(-7) s
However I'm unsure as to whether I've used the right times for the different values of t.