Simple analytical algorithm for constructing the envelope of the projectile trajectories in midair

Authors

  • Peter Chudinov Engineering Faculty, Perm State Agricultural Academy, Petropavlovskayast., 23, Perm, 614990, Russia
  • Vladimir Eltyshev Engineering Faculty, Perm State Agricultural Academy, Petropavlovskayast., 23, Perm, 614990, Russia
  • Yuri Barykin Engineering Faculty, Perm State Agricultural Academy, Petropavlovskayast., 23, Perm, 614990, Russia

DOI:

https://doi.org/10.24297/jap.v11i5.387

Keywords:

Classic problem, projectile motion, quadratic drag force, analytic formulae, envelope.

Abstract

A classic problem of the motion of a projectile thrown at an angle to the horizon is studied. The air drag force is taken into account asthe quadratic resistance law.An analytic approach is used for the investigation. Simple analytical formulae are used for constructing the envelope of the family of the projectile trajectories. The equation of envelope is applied for the determination of the maximum range of flight. The motion of a baseball is presented as an example.

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Published

2016-01-19

How to Cite

Chudinov, P., Eltyshev, V., & Barykin, Y. (2016). Simple analytical algorithm for constructing the envelope of the projectile trajectories in midair. JOURNAL OF ADVANCES IN PHYSICS, 11(5), 3312–3321. https://doi.org/10.24297/jap.v11i5.387

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