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A pion is an unstable particle which decays into a muon (which is also unstable and...

A pion is an unstable particle which decays into a muon (which is also unstable and further decays into an electron). The pion’s average lifetime when it is at rest is 26 ns. If the pion moves with a speed of 0.9819 c, what is (a) its average lifetime (ns) as measured by an observer on Earth and (b) the average distance (m) it travels before decaying as measured by an observer on Earth? (c) What average distance (m) would it travel if time dilation did not occur? Give the answer to part (c) to two significant figures.

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