Question

A certain muon detector counts 600 muouns/h at an altitude of 1900m and 380/h at sea level. Given that the muon half-life at rest is 1.5×(10^-6)s, determine the speed of the muons relative to Earth, assuming they all have the same speed.

Answer 1

380/600=e^-(t/1.5E-6)

take ln of each side
t = 1.5E-6*.456-6.84E-7 sec

speed=distance/time=1900/time above.