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Research on the Factors Influencing Long Jump

Published: 10 September 2022 Publication History

Abstract

Long-jumpers’ performances are affected by various factors. Based on the physical characteristics, take-off angle, approach speed, air density of environment, etc., this paper establishes a mathematical model that can obtain the long-jumpers’ theoretical long jump performance. The conclusions are as follows: (1) Air resistance has almost no effect on the athlete's long jump performance. (2) The faster the approach speed leads to better results. (3) Theoretically, the take-off angle is proportional to the distance for long-jumpers cover, but high take-off angle will unbalance the body, resulting in a greater loss of speed, and reduce the performance. The model in this paper has very small errors and has good applicability. It is recommended that athletes increase the approach speed and increase the take-off angle on the premise of maintaining body balance.

References

[1]
Xu Xiaoling (2020). A comparative study on the technical characteristics of approach and take-off between Xu Xiaoling and world elite female long jumpers (Master's thesis, Henan University) https://kns.cnki.net/KCMS /detail/detail.aspx?dbname=CMFD202101amp; filename=1020080015.nh
[2]
Wang Qing, Tang Li. (1986). A study on the approach speed of Chinese long jumpers. Sports Science (4), 6.
[3]
Xu Shuhai, Fuchimoto Takafumi, Ito Akira, Koyo Kaneko. (1994). Biomechanical analysis of short run-up and long jump. Journal of Xi'an Institute of Physical Education (3), 6.
[4]
Wu Yeming (2012). Kinematic analysis of take off technique of elite long jumper Su Xiongfeng (Master's thesis, Hubei University) https://kns.cnki.net/KCMS/detail/detail.aspx? dbname=CMFD201302amp;filename=1013172491.nh
[5]
Huang Xuefu (2018). Correlation analysis between knee joint angle of take-off leg, performance and injury of young long jumpers (Master's thesis, Yunnan University) https://kns.cnki.net/KCMS/detail/detail.aspx? dbname=CMFD202001amp;filename=1018251081.nh
[6]
Wang Qing, Feng Shuyong, Li Aidong. (1992). Research on the approach speed of long jump. China Sports Science and Technology (7), 9.
[7]
Reading, B. D., Freeman, B. (2005). Simple formula for the surface area of the body and a simple model for anthropometry. Clinical Anatomy: The Official Journal of the American Association of Clinical Anatomists and the British Association of Clinical Anatomists, 18(2), 126-130.
[8]
Chen Lin amp; Chen Zhaoan (2020). Analysis of the influence of air resistance on long jump performance Sports world (Academic Edition) (02), 184 + 176 61-1019/g8. 2020.02. one hundred and eighteen.

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    ICoMS '22: Proceedings of the 2022 5th International Conference on Mathematics and Statistics
    June 2022
    137 pages
    ISBN:9781450396233
    DOI:10.1145/3545839
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Association for Computing Machinery

    New York, NY, United States

    Publication History

    Published: 10 September 2022

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    Author Tags

    1. Aerodynamics
    2. Long-jumper
    3. Take-off angle

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