1) Describe a reference frame from which it appears that Alpha Centauri (a star 4 light years from Earth) is traveling faster than the speed of light, or explain why no such frame exists.

2)Many of the particles we see in cosmic rays (and also create in particle accelerators) are unstable. They live only for a short period of time before they decay to other particles. One such unstable particle is called a muon, essentially a heavy version of an electron. Imagine that a muon created in the upper atmosphere is headed straight down towards the Earth at 99.99% the speed of light. This particular muon lives for exactly one millionth of a second as measured in the muon's rest frame, before decaying into other particles. How far does the muon travel as viewed by a person on the ground? (Show exactly how you set up the calculation, as well as the result.)