<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

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

Northwest University of Political Science and Law

Department of Information Systems, Faculty of Computing and Information Technology

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

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...

x	(0, e)	e	(e, ∞)

F^′(x)	A positive number	0	Negative number
F(x)	Increasing	$F (e) = 2 \sqrt{2}$ F(e) = 2\sqrt 2 maximum	Decrement

Name	Shot put results, m	Shot angle, °

Li Meisu	20.3	38.69
	20.95	37
	21.76	35.13
Huang Zhihong	20.76	37.75
	21.28	41.3
	21.52	36.9
Slupianek	21.28	41.3
	21.41	40
	22.45	36
Sui Xinmei	21.66	39
Lisovskaya	20.86	42.6
Bayer	21.02	34.1
Gunther	22.23	35.5
Timmerman	21.35	35.8

Speed of shot, m/s	Shot height, m	Shot angle, °

		36	37	38	39	40	41

11	2	14.044	14.102	14.192	14.181	14.2	14.207
11	2.05	14.094	14.15	14.237	14.226	14.245	14.25
12	2	16.33	16.409	16.54	16.521	16.554	16.571
12	2.05	16.382	16.459	16.586	16.569	16.6	16.616
13	2	18.802	18.904	19.08	19.054	19.102	19.131
13	2.05	18.855	18.956	19.129	19.103	19.15	19.177
14	2	21.461	21.589	21.781	21.781	21.845	21.887
14	2.05	21.516	21.642	21.831	21.831	21.894	21.935
15	2	24.308	24.464	24.747	24.703	24.785	4.841
15	2.05	24.364	24.519	24.797	24.754	24.835	24.89

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

Publicado en línea: 30 dic 2021

Páginas: 151 - 162

Recibido: 17 jun 2021

Aceptado: 24 sept 2021

DOI: https://doi.org/10.2478/amns.2021.2.00136

Palabras clave
fractional differential equation, shot put motion, optimal path, maximum flight distance

© 2021 Xiang Zhang et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

Fig. 2

Fig. 3

Fig. 4

Judging extreme points

Shot put results and shot angles of world-class shot putters

Combination modes of shot flying distance, shot speed, shot angle, and shot height

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

Publicado en línea: 30 dic 2021

Páginas: 151 - 162

Recibido: 17 jun 2021

Aceptado: 24 sept 2021

DOI: https://doi.org/10.2478/amns.2021.2.00136

Palabras clavefractional differential equation, shot put motion, optimal path, maximum flight distance

© 2021 Xiang Zhang et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

Fig. 2

Fig. 3

Fig. 4

Judging extreme points

Shot put results and shot angles of world-class shot putters

Combination modes of shot flying distance, shot speed, shot angle, and shot height

Palabras clave
fractional differential equation, shot put motion, optimal path, maximum flight distance