A muon is created by a cosmic ray high in Earth's atmosphere. It travels towards Earth at a speed v = 0.93c for a distance of 4.7km as gauged by an observer at rest with respect to Earth. The muon is unstable, and decays (self-destructs) into 3 other particles after traveling this distance.
a) How long does the muon survive according to an observer at rest on Earth?
b) Calculate the value of gamma associated with the muon.
c) How much time passes before the muon decays, according to an observer traveling by the muon, i.e. in the rest frame of the muon?
d) What distance does the muon travel before it decays, according to an observer traveling by the muon?