Two firecrackers explode simultaneously 125 m apart along a railroad track, which we can take to define the x-axis of an inertial reference frame (the Home Frame). A train (which defines the Other Frame) moves at a constant 25 m/s in the +x direction relative to the track frame. 

(a) According to the Galilean transformation equations, do the firecrackers explode at the same time? 

(b) How far apart are the explosions as measured in the train frame? (Hint: If x^2 - x1 = 125 m, what is x2 ?x1?) 

(c) Assume that instead of the explosions being simultaneous, the firecracker farther ahead in the +x direction explodes 3.0 s before the other. Now how far apart would the explosions be as measured in the train frame?