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The negative pion is an unstable particle with an average lifetime of 3.30 ×10-8 s (measured in the rest frame of the pion).

(a) If the pion is made to travel at very high speed relative to a laboratory, its average lifetime is measured in the laboratory to be 4.60 × 10-7 s. Calculate the speed of the pion expressed as a fraction of c.

(b) What distance, as measured in the laboratory, does the pion travel during its average lifetime?

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