Problem 2 [3] if 17' and i?' are related by a Lorentn boost with speed s in the c-clircction, the composition formulas for velocit:,r components imply,r :2 2 {1o2fc=}{1|1?F;c\"} |F'|=c(iW). (1) {i} Derive Fl]. (ii) Use Fl} to shovtr that a Lorentz boost cannot increase the magnitude ll = W1}: + {W}? + {V'}2 of the speed of a massive object beyond c. (iii) Use H} to shov.r that an object moving at the speed of light, |l7| = c, in one inertial frame moves at the speed of light in all inertial frames