At 3 pm a rocketship passes extremely close to the earth with a speed of 0.800 c. Observers on the ship and on earth agree that it is 3 pm. At 3:40 pm, as indicated on the rocketship clock, the ship passes a small space station that is fixed relative to the earth and whose clocks read earth time.
a) What time is it on the station clocks when the ship passes?
b) How far from earth (in earth coordinates) is the station?
c) At 3:40 pm rocketship time, the ship reports by radio back to earth.
When (by earth time) does the earth receive the signal?
I'm confused on time dilation. I've read the section several times but I'm still a little puzzled. At the concept and at this problem.
I'm not sure where to start.