# An analytic solution of projectile motion with the quadratic resistance law using the homotopy analysis method

```@article{Yabushita2007AnAS,
title={An analytic solution of projectile motion with the quadratic resistance law using the homotopy analysis method},
author={Kazuki Yabushita and Mariko Yamashita and Kazuhiro Tsuboi},
journal={Journal of Physics A: Mathematical and Theoretical},
year={2007},
volume={40},
pages={8403 - 8416}
}```
• Published 3 July 2007
• Mathematics, Physics
• Journal of Physics A: Mathematical and Theoretical
We consider the problem of two-dimensional projectile motion in which the resistance acting on an object moving in air is proportional to the square of the velocity of the object (quadratic resistance law). It is well known that the quadratic resistance law is valid in the range of the Reynolds number: 1 × 103 ∼ 2 × 105 (for instance, a sphere) for practical situations, such as throwing a ball. It has been considered that the equations of motion of this case are unsolvable for a general…
199 Citations

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