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In this thread concerning part 1 of what Colin reckons isn't a very well thought out thought experiment
Colin - if the car makes 100 marks in lane 1, then in lane 2 if we do not reset the second that the car makes marks at, then the car will make 110 marks with the extended duration between start and stop light in lane 2. If we reset the second that the car in lane 2 makes marks at to 1.1 seconds, relative to to lane 1, as per the 10% extended duration between start and stop light in lane 2 - then the car will make 100 marks and the distance between the marks will be 1 metre.The distance the car travels in lane 2 will then be the same as it was in lane 1, because the car is travelling at constant speed per elongated second.In lane 1 the frequency per second is 10 metres per second.In lane 2 the frequency per second is 9 metres per lane 1 second, or it can be 10 metres per lane 2 second.
…..... in resetting the car in lane 2 to make a mark every metre at constant speed per longer second, (ie: the same duration longer (per second) as has been added to the duration between stop and start light in lane 2), ...this being 10% longer - then both the car and the lane are set to the remit of the longer second, and the car will make a mark every metre as per a metre in lane 1.
No, there will be 90 marks. Or maybe not. You have given inexplicit instructions.
I'm really sorry Nilak but I just can't visualise those mathematical symbols.
Also I cannot understand where you get this 0.909 figure from. If something is a figure of 100 and you take away 10%, it will be 90 surely?
see you in few days...
But do the maths work?
...... it is of paramount importance that the 'speed' is always viewed as being constant...
when taking a lane 2 car making marks at the frequency of a lane 2 second (this being 10% longer than a lane 1 second) and then running this lane 2 car in lane 1, that within 10 lane 1 seconds the lane 2 car will make 90 marks... and the space between these marks that the lane 2 car has marked in lane 1 will measure 1.1 metres.
I think you have just bludgeoned everyone into silent admiration of your verbal knitting.