ANALOGY THEORY OF MATHEMATICS AND PHYSICS MODELING OF THE TERMINAL VELOCITY AND KINETIC ENERGY OF THE 5000 METRES SPRINT VIA NEWTON’S SECOND LAW
Keywords:Time dependent velocity , Time dependent Kinetic energy, Correlation coefficient
In this work, mathematics and physics modeling for the 5,000 meters sprint was developed. We established a model, velocity time-dependent and kinetic energy time-dependent, for the sprint in the 5,000 meters as a function of mathematics. Substitute force time-dependent for the sprint that 3 types of the runner in the 5,000 meters into Newton's second law. In general, we used the first-order linear in-homogeneous ordinary differential equation for evaluation of the velocity depending on time and kinetic energy depending on time for the sprint in the 5,000 meters. Then the best model of force time-dependent was the modeling of 3 types. The correlation coefficient by the experiment data and the motion model 3 was 0.93, thus more than model 1 (0.89) and model 2 (0.92). In terms of biological capacity of the long-distance sprinter’s lungs, it tended to increase in the oxygen gas containment area and pulmonary capacity.
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