shouryya ray


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PDF ArXiv:13051283v5 [physicsclass-ph] 11 Sep 2014

the date of receipt and acceptance should be inserted later Abstract The paper is devoted to the motion of a body in a fluid under the influence of gravity and drag Depending on the regime considered the drag force can exhibit a lin-ear quadratic or even more general dependence on the velocity of the body relative to the fluid The case of quadr

Shouryya Ray · Jochen Fr ̈ ohlich

the date of receipt and acceptance should be inserted later Abstract The paper is devoted to the motion of a body in a fluid under the influence of gravity and drag. Depending on the regime considered, the drag force can exhibit a lin-ear, quadratic or even more general dependence on the velocity of the body relative to the fluid. The case of quadr

4.2.1 Equations of Motion

The equations of motion for projectile motion subject to quadratic drag in a fluid of velocity are given by dv = arxiv.org

1 + αu0t + · · ·

Using the transformation equations given earlier, one can deduce vx, vy, x and y from the above. arxiv.org

5 Conclusions and Outlook

In this paper, the motion of a body in a resistant medium and a constant gravitational field was investigated. The nonlinear nature of the drag force leads to a coupled nonlinear system of ordinary differential equations, thus demanding a more involved approach in the ana-lytical treatment. To this end, a useful technique for reducing a particular

Acknowledgements

The first author would like to express his gratitude to Martin-Andersen-Nex ̈ o-Gymnasium Dresden for providing an ideal framework within the school curriculum for carrying out the research activities. The authors are also thankful to Prof. Dr. Ralph Chill, Prof. Dr. J ̈ urgen Voigt and Prof. Dr. Herbert Balke for advice on mathematical background

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