A rocket with a proper length of 700 m is moving to the right at a speed of 0.9c. It has two clocks, one in the nose and one in the tail, that have been synchronized in the frame of the rocket. A clock on the ground and the nose clock on the rocket both read t = 0 as they pass.

(a) At t = 0, what does the tail clock on the rocket read as seen by an observer on the ground? When the tail clock on the rocket passes the ground clock,

(b) What does the tail clock read as seen by an observer on the ground,

(c) What does the nose clock read as seen by an observer on the ground, and

(d) What does the nose clock read as seen by an observer on the rocket?

(e) At t = 1 h, as measured on the rocket, a light signal is sent from the nose of the rocket to an observer standing by the ground clock. What does the ground clock read when the observer receives this signal?

(f) When the observer on the ground receives the signal, he sends a return signal to the nose of the rocket. When is this signal received at the nose of the rocket as seen on the rocket?