A Simple Model for Predicting Sprint Race Times Accounting for Energy Loss on the Curve
@article{Mureika1997ASM, title={A Simple Model for Predicting Sprint Race Times Accounting for Energy Loss on the Curve}, author={Jonas Mureika}, journal={arXiv: Popular Physics}, year={1997} }
The mathematical model of J. Keller for predicting World Record race times, based on a simple differential equation of motion, predicted quite well the records of the day. One of its shortcoming is that it neglects to account for a sprinter's energy loss around a curve, a most important consideration particularly in the 200m--400m. An extension to Keller's work is considered, modeling the aforementioned energy loss as a simple function of the centrifugal force acting on the runner around the…
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