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An unstable high-energy particle is created in the laboratory, and it moves at a speed of 0.991c. Relative to a stationary reference frame fixed to the laboratory, the particle travels a distance of 3.12 x 10^-3 m before disintegrating. What is

(a) the proper distance and

(b) the distance measured by a hypothetical person traveling with the particle? Determine the particle's

(d) its dilated lifetime.

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