Question

Relativity

Answer 1

Starbase Alpha coasts through deep space at a speed of B = 0.60 int he positive x direction with respect to the earth. Let the event of the starbase traveling by the earth define the origin event in both frames. Imagine that a T = 8.0 h, a giant accelerator on earth launches you toward the starbase at 10 times the speed of light, relative to the earth. After you get to the starbase, you use a similar accelerator to launch you back toward earth at 10 times the speed of light, relative to the starbase. Using a carefully constructed (full-page) two-observer diagram, show that in such case you will return to the earth before you left. (this is another way to illustrate the absurdity of faster-than-light travel.)