An unstable high-energy particle is created in the laboratory, and it moves at a speed of 0.984c. Relative to a stationary reference frame fixed to the laboratory, the particle travels a distance of 1.02 x 10-3 meter before disintegrating.
(a) Find what is the proper distance traveled?
m
(b) Find what is the distance measured by a hypothetical person traveling with the particle?
m
(c) Determine what is the proper lifetime?
s
(d) Determine what is the dilated lifetime?