Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 6, Issue 2


Published
on

December 30, 2021


Pages

151-162


DOI

Article

Study on the maximum value of flight distance based on the fractional differential equation for calculating the best path of shot put

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Authors

Xiang Zhang Affiliation:
Northwest University of Political Science and Law, Shaanxi, China
and Dimah Alahmadi Affiliation:
Department of Information Systems, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah, Saudi Arabia


Abstract

From the perspective of physics, this article analyzes the various factors that affect the distance of shot put in the process of actual shot put. Based on the actual situation, it uses fractional calculus and physical formulas to calculate the shot throw distance and to conduct a comprehensive analysis. The experiment confirms that the three factors that affect the shot flying distance are the shot angle, shot speed, and shot height and analyzes the relationship between these three factors and the impact of each univariate on the shot flying distance. The analysis results show that among the three factors, the shot speed has the greatest impact on the flight distance, followed by the shot angle, and the shot height has the least effect; moreover, the optimal shot angle is not a specific value but a general range.


Keywords

fractional differential equation, shot put motion, optimal path, maximum flight distance, 12H99


Citation

Zhang, X. & Alahmadi, D. (2021). Study on the maximum value of flight distance based on the fractional differential equation for calculating the best path of shot put. Applied Mathematics and Nonlinear Sciences, 6(2), 151–162. https://doi.org/10.2478/amns.2021.2.00136

Published by: Engineering Journals

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