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°

References

Carrejo, D. J., Marshall, J., What is mathematical modelling? Exploring prospective teachers’ use of experiments to connect mathematics to the study of motion. Mathematics Education Research Journal. 19(1), (2007), 45–76.

Gablonsky, J. M., Lang, A. S., Modeling basketball free throws. Siam Review. 47(4), (2005), 775–798.

Leela, J. K., Comissiong, D. M., Modelling football penalty kicks. Latin-American Journal of Physics Education. 3(2), (2009), 12.

Linthorne, N. P., Optimum release angle in the shot put. Journal of Sports Sciences. 19(5), (2001), 359–372.

Linthorne, N. P., Guzman, M. S., Bridgett, L. A., Optimum take-off angle in the long jump. Journal of sports sciences. 23(7), (2005), 703–712.

Red, W. E., Zogaib, A. J., Javelin dynamics including body interaction. Journal of Applied Mechanics. 44, (1977), 496–498.

Tan, A., Zumerchik, J., Kinematics of the long jump. The Physics Teacher. 38(3), (2000), 147–149.

Tsuboi, K., A mathematical solution of the optimum takeoff angle in long jump. Procedia Engineering. 2(2), (2010), 3205–3210

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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