(Solution) - The proper mean lifetime of pions is 2 6 10 8 s -(2025 Original AI-Free Solution)

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The proper mean lifetime of pions is 2.6 ??10-8 s. If a beam of pions has a speed of 0.85c,
(a) What would their mean lifetime be as measured in the laboratory?
(b) How far would they travel, on average, before they decay?
(c) What would your answer be to part (b) if you neglect time dilation?