A Simple Model for Predicting Sprint Race Times Accounting for Energy
Loss on the Curve --- J. R. Mureika
Acknowledgements
I thank R. Mureika and R. Turner (
Applied Statistics Centre, Dept. of
Mathematics and Statistics, University of
New Brunswick) for assisting with
the least-square fits of the current WRs used in this work. I also thank
R. Tibshirani for
various insightful discussions, and D. Bailey for
providing superb experimental data from which to work. Further thanks
to C. Georgevski (Director,
University of Toronto Canadian High Performance
Track and Field Centre) for making it possible for me to observe first--hand
the "experiment" discussed in the Appendix.
References
[1] J. B. Keller, "A theory of competitive running",
Physics Today 43, Sept. 1973; J. B. Keller, "Optimal velocity
in a race", Amer. Math. Monthly 81, 474 (1974)
[2] R. Tibshirani, "Who is the fastest man in the world?",
Amer. Stat. (May 1997)
[3] A. V. Hill, "The Physiological basis of athletic records",
Report of the 93rd Meeting, Brit. Assoc. for the Adv. of Sci., 156
(1925)
[4] International Amateur Athletic Federation web site,
{\tt http://www.iaaf.org/}. This site contains competition results,
records, and an on-line version of the IAAF Rules and Regulations handbook
from which the regulations herein are cited.
[5] Ottavio Castellini, IAAF Competitions Department, personal
communication.
[6] W. G. Pritchard, "Mathematical models of running",
SIAM Review 35, 359 (1993)
[7] J. R. Mureika, "What are the best 100 m performances?",
Athletics: The National Canadian Track and
Field / Running Magazine (July 1997).
[8] C. Smith (ed.), Canadian Athletics Annual: 1996 in
Review, Athletics Canada (1997)
[9] F. Peronnet and G. Thibault, "Mathematical analysis
of running performance and world records", J. Appl. Physiol.
67, 453 (1989)
[10] H. W. Ryder et al., "Future Performance in
Footracing", Scientific American 234,
109 (1976)
[11] World Records for lanes, Men's 200 m, Jed W. Brickner (1995),
http://www.users.inter
port.net/~bricklan/athletic/lanes/m200m.html
[12] J. R. Mureika, "And the Winner Is... Predicting the Outcome
of the 150m Showdown", Athletics: The National Canadian Track and Field /
Running Magazine (June 1997).
[13]The Globe and Mail, p. C-2, "One--to--One" special insert, 29 May 1997.
[14] "How the race was won", The Toronto Star, p. D-5 (June 2, 1997).
[15] Toronto Slam! Sports web site, http://www.canoe.ca/BaileyJohnson/jun
1_fax.html the
contents of a fax sent to Ray Flynn, Donovan Bailey's agent, concerning the
track configurations (01 June, 1997)
[16] Toronto Slam! Sports web site, http://www.canoe.ca/BaileyJohnso
n/jun1_protest.html a public statement of Bailey's protests (01 June 1997)
[17] Official 1997 Outdoor Canadian Rankings, Ontario Track and
Field Association web site,
http://www.echo-on.net/~ontrack/
Section index
Appendix: The 150m Showdown at Skydome
Curve Model
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