Consider the two events whose coordinates
(ct,x,y,z)
are
(0,0,0,0)
and
(2,5,0,0)
in
S
. Find the speeds of frames
S^(')
in which (i) the events are simultaneous, (ii) the second event precedes the first by one unit of time, that is,
ct^(')=-1
. (iii) Is there a frame in which the events occur at the same point? (Ans: (i)
\beta =(2)/(5)
. (ii)
\beta =(10+\sqrt(22))/(26)
. (iii) No.)