An unstable high-energy particle is created in the laboratory, and it moves at a speed of 0.990c.

Question:

An unstable high-energy particle is created in the laboratory, and it moves at a speed of 0.990c. Relative to a stationary reference frame fixed to the laboratory, the particle travels a distance of 1.05 × 1023 m before disintegrating. What are
(a) The proper distance
(b) The distance measured by a hypothetical person traveling with the particle? Determine the particle's
(c) Proper lifetime
(d) Its dilated lifetime.