The average life-time of a pi meson in its own frame of reference (that is, the proper lifetime) is 2.6 x 10-8 s.
(i) When the meson moves with a speed of 0.96c, determine its mean lifetime as evaluated by an observer on the Earth?
(ii) Determine the average distance it travels before decaying, as evaluated by an observer on the Earth?
(iii) Determine what distance would it travel if time dilation did not take place?