EVALUATION OF TIME-DEPENDENT PERFORMANCE FOR THE 10,000-METRE MINI MARATHON RUNNER VIA NEWTON’S SECOND LAW OF MOTION

Abstract

 This paper we are purposed to develop motion models for the 10,000-metre mini marathon runner. We calculated velocity depend on time and force parameter for the runner. We showed results comparison of velocity from running record data and theoretical mathematics and physics model. We can be used evaluation of model for the 10,000-metre runner by the method of Newton’s second law and differential equations. We collected experiment data from IAAF World Athletics Championships Doha 2019 10,000-metre men final round results record and use data to fine velocity and time parameter for runner and used Mathematica program to fine initial velocity, endurance coefficient and coefficient drag force parameter with motion models. An initial force  that refine from model 1 are higher than from model 2 and 3 respectively. The endurance coefficient  parameter are lowest in model 1 but highest in model 2 and the coefficient drag force parameter from model 3 less than model 2 and 1 respectively. Correlation coefficient by the experiment data and motion model 2 is 0.871605 more than model 3 (0.870055) and model 1 (0.86942).