The International Space Federation constructs a new spaceship that can travel at a speed of 0.980c....
I. Darth Vader's parking problem (Part I): Darth Vader "drives" his Star Destroyer of length = 2,200 m home. He tries to park the spaceship in his newly-build garage, which is at rest. The contractor who build the garage messed up the blueprints and made the garage only 2,000 m long (the poor guy must not have known who he was working for). Darth Vader apporaches the garage at very high speed (close to the speed of light). From the...