Observers in a frame S arrange for two simultaneous explosions at time t=0. The first explosion is at the origin(x1=y1=z1 =0) while the second is on the positive x-axis 4 light-years away(x2= 4 light-years, y2=z2 = 0)
(a) Use Lorentz transformations to determine the coordinates of these two events as observed in a frame S' traveling in the standard configuration at speed 0.6c relative to S.
(b) Find how far apart are the two events as measured in S'?
(c) Are the events simultaneous as observed by S'?