A muon is created by a cosmic-ray interaction at an altitude of 60 km. Imagine that after its creation, the muon hurtles downward at a speed of 0.998, as measure by a ground-based observer. After the muon's "internal clock" registers 2.0 microseconds, the muon decays.
a) if the muon's internal clock were to measure the same time between its birth and death as clock on the ground do (special relativity is not true and time is universal and absolute) about how far would this muon have traveled before it decays?
b) how far will this muon really travel before it decays?