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A mathematical analysis of wind effects on a long-jumper

Published online by Cambridge University Press:  17 February 2009

Neville de Mestre
Neville de Mestre
Affiliation:
School of Information and Computing Sciences, Bond University Qld.
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Abstract

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A perturbation model is used to predict the distance jumped by a long-jumper for a range of tailwinds and headwinds. The zeroth-order approximation is based on gravity being the only force present, the effects of drag and lift only being included in the first-order corrections. The difference in predicted distances produced by the zeroth and first-order approximations is less than 2% for headwinds or tailwinds upto 4 ms−1. Most increases or decreases due to wind are caused by changes in the run-up speed, and consequently the take-off angle and speed.

Type
Research Article
Information
The ANZIAM Journal , Volume 33 , Issue 1 , July 1991 , pp. 65 - 76
Copyright
Copyright © Australian Mathematical Society 1991

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