Congratulations, you made the 200 meter sprint final in the Beijing 2008 Olympics, competing against 7 other runners, and are given the choice of lanes. Is there a lane you can choose that will give you an advantage? If you think there is then you must be able to show this mathematically, and not formulate potential advantages such as running in the center lane gives you the best view of the field, or in the past most runners who won the race started in lane x. If there is no advantage to lane assignment than hopefully you can state a logical convincing reason why this is so. To put this into perspective you can assume the lane width is about 1 meter.
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Congratulations, you made the 200 meter sprint final in the Beijing 2008 Olympics, competing against 7 other runners, and are given the choice of lanes. Is there a lane you can choose that will give you an advantage? If you think there is then you must be able to show this mathematically, and not formulate potential advantages such as running in the center lane gives you the best view of the field, or in the past most runners who won the race started in lane x. If there is no advantage to lane assignment than hopefully you can state a logical convincing reason why this is so. To put this into perspective you can assume the lane width is about 1 meter.
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