An unstable high-energy particle is formed in the laboratory and it moves at a speed of around 0.988c. Relative to the stationary reference frame fixed to the laboratory, the particle travels at a distance of around 1.16*10^-3 m before disintegrating.
(i) Determine the proper distance traveled?
(ii) Determine the distance evaluated by a hypothetical person traveling with the particle?
(iii) Find out the proper lifetime of the particle.
(iv) Find out the dilated lifetime of the particle.