A rocketship passes extremely close to Earth with a speed of .800c. Just as the ship passes Eath, observers on the ship and on Earth synchronize their clocks to 3pm. At 3:40 pm, as indicated on the rocketship clock, the ship passes a small space station stationary relative to Earth. The station clocks read Earth time.
(a) What time is it on the station clocks when the ship passes?
(b) How far from Eath is the station (as measured in the reference frame of Earth)?
(c) At 3:40 pm the rocketship time, the ship sends a radio signal back to Earth. When (by Earth time) is the signal recieved at Earth?