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Hang on I think I've got it..............?????
Using my own explanation above........... When you reach obs1 all the photons from 10min worth of having your lights on would reach him at 10.10am. therefore he would see you at the point where you turned your lights on at 10.10am.....but he would also see you at each and every point along your path of travel at 10.10am. Therefore you would appear to be in each and every position along your path all at once, in other words you would be an instantanious blur from the point at which you turned your lights on until you passed the observer. The other two observers would see similar effects but obs2 would see 20min of your path, and obs3 would see 30min. The only difference would be the time at which they said the event happenned, ie. 10min apart.
Man this stuff really gets your brain working.
I'm not really sure about what I have said here but I think you can get the idea of where I'm coming from.
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