A particular pion \(\pi^{+}\)decays in 26 nanoseconds in its own rest-frame. Suppose a particle accelerator produces the pion with total energy \(E=100 m c^{2}\), where \(m\) is its mass. (a) How far (in meters) will it travel before decaying? (b) A different pion has a kinetic energy equal to its mass energy. If it travels a distance \(D\) before decaying, find how long it lived in its own rest-frame.