2016
DOI: 10.1080/02640414.2016.1164331
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Model for assessment of the velocity and force at the start of sprint race

Abstract: A mathematical model was developed for the assessment of the starting velocity and initial velocity and force of a 100-m sprint, based on a non-homogeneous differential equation with the air resistance proportional to the velocity, and the initial conditions for [Formula: see text], [Formula: see text]The use of this model requires the measurement of reaction time and segmental velocities over the course of the race. The model was validated by comparison with the data obtained from 100-m sprints of men: Carl L… Show more

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Cited by 7 publications
(5 citation statements)
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“…In the final section, instead, there is a decrease in speed (phase of decreasing speed 70-100m) (Forte et al, 2019). Therefore, the running technique involves a purely linear movement and no centrifugal or centripetal force (Nataša J. Janjić et al, 2017). The subjects to which the following work refers are athletes belonging to the following categories: amputees, brain-damaged and normal-born.…”
Section: Introductionmentioning
confidence: 99%
“…In the final section, instead, there is a decrease in speed (phase of decreasing speed 70-100m) (Forte et al, 2019). Therefore, the running technique involves a purely linear movement and no centrifugal or centripetal force (Nataša J. Janjić et al, 2017). The subjects to which the following work refers are athletes belonging to the following categories: amputees, brain-damaged and normal-born.…”
Section: Introductionmentioning
confidence: 99%
“…A more trustworthy approach is through the theoretical simulations (Vaughan 1983a(Vaughan , 1983b of mechanical models in which several variables can be taken into account. Among the many models in the literature (Furusawa et al 1927, Fenn 1930, Keller 1973, Shanebrook and Jaszczak 1975, Holmlund and von Hertzen 1997, Wagner 1998, Alexandrov and Lucht 1981, Pritchard 1993, Helene and Yamashita 2010, Barbosa et al 2016, Janjić et al 2017, in this paper we will concentrate on the successful mechanical model developed by Hernández-Gómez et al (2013) for the 100 m sprint, which we now apply to understanding Bolt's performance from Beijing 2008 to Rio 2016. To address the question of why he has not been able to break the world record he set at Berlin 2009, we evaluated the relevance of parameters such as the mass and age of the runner, as well as the sprint tailwind.…”
Section: Introductionmentioning
confidence: 99%
“…with: m – sprinter’s mass, F(t)= F – constant force of the sprinter (Doder et al, 2012; Janjić et al, 2016), kv – force of the resistance of the medium, k – coefficient of the resistance of the medium (air), lw 2 –force of the wind influence, w – constant wind velocity colinear with sprinter velocity, l – coefficient of the resistance of the medium with wind, which according to common practice we took equal for all sprinters l = 0.3 kg/m (Helene and Yakachita, 2010).…”
Section: Methodsmentioning
confidence: 99%