a cosmic ray creates a muon in the earth's upper atmosphere that travels towards the earth at 0.998c. the muon exists for 3.16 ms when measured by an observer on earth. during its lifetime: a) how far does an observer on earth say the muon has traveled? b) find the lifetime of the muon as measured by an observer at rest with respect to the muon. c) how far does the muon say that it has traveled relative to earth?

22. the top of a cliff is located a distance h above the ground. at a distance h/2 there is a branch that juts out from the side of the cliff, and on this branch a bird's nest is located. two children throw stones at the nest with the same initial speed, one stone straight downward from the top of the cliff and the other stone straight upward from the ground. in the absence of air resistance, which stone hits the nest in the least amount of time?