TY - JOUR
T1 - On the performance of Usain Bolt in the 100 m sprint
AU - Hernández Gómez, J. J.
AU - Marquina, V.
AU - Gómez, R. W.
PY - 2013/9
Y1 - 2013/9
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84883115671&partnerID=8YFLogxK
U2 - 10.1088/0143-0807/34/5/1227
DO - 10.1088/0143-0807/34/5/1227
M3 - Artículo
AN - SCOPUS:84883115671
SN - 0143-0807
VL - 34
SP - 1227
EP - 1233
JO - European Journal of Physics
JF - European Journal of Physics
IS - 5
ER -