On the performance of Usain Bolt in the 100 m sprint

J. J. Hernández Gómez, V. Marquina, R. W. Gómez

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

Many university texts on mechanics consider the effect of air drag force, using the slowing down of a parachute as an example. Very few discuss what happens when the drag force is proportional to both u and u2. In this paper we deal with a real problem to illustrate the effect of both terms on the speed of a runner: a theoretical model of the world-record 100 m sprint of Usain Bolt during the 2009 World Championships in Berlin is developed, assuming a drag force proportional to u and to u2. The resulting equation of motion is solved and fitted to the experimental data obtained from the International Association of Athletics Federations, which recorded Bolt's position with a laser velocity guard device. It is worth noting that our model works only for short sprints.

Original languageEnglish
Pages (from-to)1227-1233
Number of pages7
JournalEuropean Journal of Physics
Volume34
Issue number5
DOIs
StatePublished - 1 Jan 2013

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Hernández Gómez, J. J., Marquina, V., & Gómez, R. W. (2013). On the performance of Usain Bolt in the 100 m sprint. European Journal of Physics, 34(5), 1227-1233. https://doi.org/10.1088/0143-0807/34/5/1227
Hernández Gómez, J. J. ; Marquina, V. ; Gómez, R. W. / On the performance of Usain Bolt in the 100 m sprint. In: European Journal of Physics. 2013 ; Vol. 34, No. 5. pp. 1227-1233.
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Hernández Gómez, JJ, Marquina, V & Gómez, RW 2013, 'On the performance of Usain Bolt in the 100 m sprint', European Journal of Physics, vol. 34, no. 5, pp. 1227-1233. https://doi.org/10.1088/0143-0807/34/5/1227

On the performance of Usain Bolt in the 100 m sprint. / Hernández Gómez, J. J.; Marquina, V.; Gómez, R. W.

In: European Journal of Physics, Vol. 34, No. 5, 01.01.2013, p. 1227-1233.

Research output: Contribution to journalArticle

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