A particle termed as a pion lives for a short time before breaking apart into the other particles. Assume that it is moving at a speed of around 0.970c and an observer who is stationary in a laboratory measures the lifetime of a particle to be 2.50*10^-8 s.
(i) Determine the lifetime according to a hypothetical person who is riding all along with the pion?
(ii) According to the hypothetical person, determine how far does the laboratory move before the pion breaks separately?