One of the primary goals of the Kepler space telescope is to search for Earth-like planets. Data gathered by the telescope indicates the existence of one such planet named Boralis orbiting a star 130 ly from our solar system. Consider an interstellar spaceship leaving Earth to travel to Boralis. The ship can reach 0.90c almost instantly and can also decelerate almost instantly. The ship is 145 m long in its reference frame. Required:
a. What is the length of the moving ship (in m) as measured by observers on Earth?
b. How much time (in years) will it take for the spaceship to travel from Earth to Boralis, as measured by an observer on Earth?
c. How much time (in years) will it take for the spaceship to travel from Earth to Boralis, as measured by astronauts in the spaceship?