(a) The stationary observer (in this diagram) sees event D happen first, then event A, then event B, then event C, and finally event E. Therefore, the ranking of the five marked points according to time for the stationary observer is: E -D-B=C-A
(b) The ranking of the five marked points according to time for the moving observer is: D-B-C-E-A
(c) The ranking of the five marked points according to position for the stationary observer is: A-B-C-E-D
(d) The ranking of the five marked points according to position for the moving observer is: D-E-C-B-A
In terms of (a), The stationary observer is represented by the vertical axis, so we can simply read off the time of each event from this axis. Event E is clearly the earliest, followed by event D, event B, event C, and then event A.
In terms of (b), The moving observer is represented by the tilted axis, so we need to use the Lorentz transformation to convert the times from the stationary observer's frame to the moving observer's frame
See text below
The figure shows a spacetime diagram for two people moving with respect to each other and five events, labelled A through E. The horizontal scale is the x scale, the vertical scale is the t scale, and the tilted axes are the x' and t' scales.
(a) Rank the five marked points according to time for the stationary (in this diagram) observer, earliest first. Use the syntax A-B-C-D-E which would mean A happened first, B at the same tim as C, followed by D then -------------
(b) Rank the five marked points according to time for the moving (in this diagram) observer.-----------
(c) Rank the five marked points according to position for the stationary observer, from left to right. -------------
(d) Rank the five marked points according to position for the moving observer.----------