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Application of Mathematical Model for Simulation of 100-Meter Race

Cai Cui

Abstract


This paper first conducts decomposition and composition of the gravity, resistance, stamina applied driving force that athletes receive during running using physical methods. Through the balanced relation, we know the ongoing driving force of the race, and solve the racing speed by integral calculus. Then it carries through statistics on the male 100-meter race performance of previous Olympic Games, and establishes gray prediction model to predict the results of 100-meter race. Use filtering accuracy test to test the model, its accuracy is as high as 99.86%, which can verify the accuracy of the model. Finally it uses MATLAB to forecast the achievements of 100-meter race, which has certain referential significance for the future related training and scientific research of sprint.

Keywords


Matlab simulation, Gray prediction, correlation analysis, 100M.

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