29. A stationery missile explodes and breaks into equal pieces. The two pieces move with velocities c/2, one to the right and the other to the left. The piece moving to the right again explodes into two pieces such that with respect to its own rest frame, the resulting two pieces take off with velocities c/2 one to the right and the other to the left. Find the velocities of these last two pieces with respect to earth. (Ans. 4/5 c and zero) 30. If S' has velocity c relative to S, show that all bodies moving relative to S with speeds less than c have a speed c as observed from frame S'. Consider all motions to be along X-axis only. 31. Two bodies are moving in opposite directions with speeds c relative to an inertial frame. Show that their relative velocity is c.