A theory of competitive running

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Abstract
World records for running provide data of physiological significance. In this article, I shall provide a theory of running that is simple enough to be analyzed and yet allows one to determine certain physiological parameters from the records. The theory, which is based on Newton's second law and the calculus of variations, also provides an optimum strategy for running a race. Using simple dynamics one can correlate the physiological attributes of runners with world track records and determine the optimal race strategy.

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