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_{1}= 3.00 m and x

_{2}= 5.00 m. The lights flash at times t

_{1}= 1.00 ns and t

_{2}= 9.00 ns. An observer in a rest frame moving to the right sees the lights flash in the same location. Assume that the origins of the two rest frames coincide at t = t' = 0.

a) Find the speed of the observer.

b) Find the time between the flashes as seen by the moving observer.

2. It says that as a hint, to think Lorentz Transformations.

3. Here is where I am stuck, I have no idea how to even begin it, since I do not know whether the observer and the S' frame are both moving together, and since U

_{x}' = U

_{x}- v/(1-U

_{x}v/c

^{2}) would be the speed of the observer, I do not know what U

_{x}or v could be.

I have also tried applying a Lorentz transformation on the x positions and times and such, but my gut tells me thats dead wrong anyway. If anyone can help shine some light on this situation (pardon the pun) it would really help me a lot. Thanks