A Simulation Study on Object Motion under Air Resistance Based on Python Modeling

Authors

  • Yuyang Qi School of physics, Hangzhou Normal University, HangZhou, China
  • Jingbin Xue School of physics, Hangzhou Normal University, HangZhou, China
  • Dechao Lv School of physics, Hangzhou Normal University, HangZhou, China

DOI:

https://doi.org/10.62051/zh1nf719

Keywords:

Air resistance; maximum speed; Resistance model; numerical simulation.

Abstract

This article focuses on the influence of air resistance on object motion, and constructs and compares four models: constant resistance, linear resistance, quadratic resistance, and polynomial resistance. The analytical forms of velocity and displacement were derived at the theoretical level, and the evolution of motion over time was visually presented through Python numerical simulation. The results indicate that different forms of resistance determine the existence and magnitude of the ultimate speed, as well as the speed at which motion tends to steady state. The study not only revealed the differences between ideal models and actual motion, but also demonstrated the value of numerical simulation in physics teaching and research.

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References

[1] Ong C R, Miura H, Koike M. The Terminal Velocity of Axisymmetric Cloud Drops and Raindrops Evaluated by the Immersed Boundary Method[J]. Journal of the Atmospheric Sciences, 2021, 78(4): 1129–1146. DOI: https://doi.org/10.1175/JAS-D-20-0161.1

[2] Zhang Z, Peng Z, Li X, Ma Z, Zhou P, Huang X. Shuttlecock trajectory during spin serves[J]. Physics of Fluids, 2025, 37(8): 087179. DOI: https://doi.org/10.1063/5.0275494

[3] Zhou L. Aerodynamic characteristics and trajectory analysis of badminton shuttlecocks[J]. Acta of Bioengineering and Biomechanics, 2024, 26(4): 29–37. DOI: https://doi.org/10.37190/ABB-02508-2024-01

[4] Uyanna O, Najafi H, Rajendra B. An inverse method for real-time estimation of aerothermal heating for thermal protection systems of space vehicles[J]. International Journal of Heat and Mass Transfer, 2021, 175: 121482. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2021.121482

[5] Chudinov P S. Projectile Motion in Midair Using Simple Analytical Approximations[J]. The Physics Teacher, 2022, 60(9): 774–778. DOI: https://doi.org/10.1119/5.0053162

[6] Said A, Mshewa M, Mwakipunda G, Ngata M, Mohamed E. Computational Solution to the Problems of Projectile Motion under Significant Linear Drag Effect[J]. Open Journal of Applied Sciences, 2023, 13(4): 508–528. DOI: https://doi.org/10.4236/ojapps.2023.134041

[7] Bradshaw J L. Projectile motion with quadratic drag[J]. American Journal of Physics, 2023, 91(4): 258–263. DOI: https://doi.org/10.1119/5.0095643

[8] Lubarda M V, Lubarda V A. A review of the analysis of wind-influenced projectile motion in the presence of linear and nonlinear drag force[J]. Archive of Applied Mechanics, 2022, 92(7): 1997–2017. DOI: https://doi.org/10.1007/s00419-022-02173-7

[9] Narkiewicz-Jodko R, Dominik A, Kozioł P. Subtle features in projectile motion with quadratic drag found through Taylor series expansions[J]. American Journal of Physics, 2022, 90(2): 135–141. DOI: https://doi.org/10.1119/10.0009227

[10] Veeresha P, Thasi K, Khader M M. Computational analysis of the fluid–structure interactions of a synthetic badminton shuttlecock at various flight speeds[J]. Physics of Fluids, 2024, 36(1): 015113. DOI: https://doi.org/10.1063/5.0182411

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Published

16-06-2026

How to Cite

Qi, Y., Xue, J., & Lv, D. (2026). A Simulation Study on Object Motion under Air Resistance Based on Python Modeling. Transactions on Engineering and Technology Research, 6, 28-35. https://doi.org/10.62051/zh1nf719