S′ has a velocity of 3c/5 in the x direction with respect to frame S. The origins of S and S′
coincide at t = 0, t′ = 0. What are the spacetime coordinates of the event in S?
The space and time coordinates of two events measured in the frame S are as follows:
Event 1: x1 =x0, t1 =x0/c, y1 =0, z1 =0
Event2: x2 =2x0, t2=x0/2c, y2 =0, z2 =0
(a) There exists a frame in which these events occur at the same time. Find the velocity of
this frame with respect to S.
(b) What is the value of t at which both events occur in the new frame?