Final answer:
The coordinates of the laser firing events in different reference frames are determined by Lorentz transformation, and time delays caused by light travel time are considered to ascertain the simultaneity of events in the reference frame of a relativistically moving train.
Step-by-step explanation:
This question deals with events observed from different inertial frames applying the principles of special relativity. When Han and Greedo fire their blasters simultaneously in frame S, the coordinates of these events in S are (t, 0) for Han and (t, LS) for Greedo. To find the coordinates in frame S', you would use the Lorentz transformation.
For part ii, we need to account for the time it takes for light to travel from one end of the train to the other in frame S'. This would involve calculating the difference in times when Han and Greedo would see the other's blaster fire using the speed of light and the length of the train in S'.
Part iii requires comparing the times from part i and ii. If one's perception of the other's action is delayed due to the time it takes light to travel, it calls into question whether either could have fired in response to the other. Relativistic speeds and the limit of the speed of light can cause differences in the sequence of observed events between frames.