Abstract
Previous attempts to formulate the mathematical relationship between velocity and elapsed time (or distance) in running records have failed to account for the sprint events and have been empirical rather than theoretical. In the present study, a velocity equation is developed which consists of the sum of three exponential terms having fatigue constants or k's characterizing the muscle energy supply systems—the alactate and lactate oxygen debts and the glycogen reserve. A subtractive exponential term represents the acceleration factor in the sprints. Using this equation, record speeds for 100 yds. and longer distances are predicted with an error of less than 1 per cent; for the 60 meter—60 yd. sprints, with errors of 2 and 3 per cent.

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