In Section 36.6 we saw that muons can reach the ground because of time dilation. But how do things appear in the muon’s reference frame, where the muon’s half-life is only 1.5 μs? How can a muon travel the 60 km to reach the earth’s surface before decaying? Resolve this apparent paradox. Be as quantitative as you can in your answer.

Data From Section 36.6

An out-of-control alien spacecraft is diving into a star at a speed of 1.0 × 10⁸ m/s. At what speed, relative to the spacecraft, is the starlight approaching?