A rocket starts at rest relative to a planet, a distance ? away. It accelerates toward the

Question:

A rocket starts at rest relative to a planet, a distance ? away. It accelerates toward the planet with proper acceleration g. Let ? and t be the readings on the rocket's and planet's clocks, respectively.

(a) Show that when the astronaut's clock reads ?, he observes the rocket planet distance, x (as measured in his instantaneous inertial frame), to be given by

(b) Show that when the astronaut's clock reads ?, he observes the time, t, on the planet's clock to be given by

The results from Exercises 5 and 7 will be useful here.