Mathematical model of long jump


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Authors

  • Ahmad Septiandika Adirahma Faculty of Sport, Sebelas Maret University, Jl. Ir Sutami 36 A, Surakarta, Indonesia
  • Rumi Iqbal Doewes Faculty of Sport, Sebelas Maret University, Jl. Ir Sutami 36 A, Surakarta, Indonesia
  • Sapta Kunta Purnama Faculty of Sport, Sebelas Maret University, Jl. Ir Sutami 36 A, Surakarta, Indonesia
  • Muhammad Furqon Hidayatullah Faculty of Sport, Sebelas Maret University, Jl. Ir Sutami 36 A, Surakarta, Indonesia
  • Muchsin Doewes Faculty of Sport, Sebelas Maret University, Jl. Ir Sutami 36 A, Surakarta, Indonesia

Keywords:

mathematical model, long jump, velocity, distance, angle

Abstract

This paper presents a mathematical model of long jump. We determine the model of velocity, maximum distance, length of time in the air, maximum height, and optimum take-off angle. The modeling is done by assuming that the initial velocity is constant and the long jumper can determine the takeoff angle when take-off and landing. The results of this modeling can explain physically how a jumper can do a very spectacular jump and get the maximum distance. We find that the optimum take-off angle is about 35.26°

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Published

2023-10-16

How to Cite

Ahmad Septiandika Adirahma, Rumi Iqbal Doewes, Sapta Kunta Purnama, Muhammad Furqon Hidayatullah, & Muchsin Doewes. (2023). Mathematical model of long jump. Results in Nonlinear Analysis, 6(4), 1–6. Retrieved from https://nonlinear-analysis.com/index.php/pub/article/view/310