Some problems of the projectile motion with a square-law resistance
DOI:
https://doi.org/10.31349/RevMexFisE.19.010201Keywords:
Projectile motion, square-law resistance, arc length of trajectoryAbstract
The influence of the force of the quadratic resistance of the medium on the change in some interesting characteristics of the motion of the projectile, which take place when the projectile moves in vacuum, is investigated. Loci are constructed numerically (and partly analytically) that ensures maximization of the arc length of the projectile trajectory and a non-decreasing of the length of the radius-vector. As examples, the motion of a baseball, a tennis ball and a badminton shuttlecock is studied.
References
H. Sarafian, On projectile motion, Phys. Teach. 37 (1999) 86, https://dx.doi.org/10.1119/1.880184.
J. Walker, Projectiles: are they coming or going?, Phys. Teach 33 (1995) 282, http://dx.doi.org/10.1119/1.2344221.
B. Okunev, Ballistics Vol.2 (Voyenizdat, Moscow, 1943).
A. Tan, C. Frick and O. Castillo, The fly ball trajectory: an older approach revisited, Am. J. Phys. 55 (1987) 37, https://doi.org/10.1119/1.14968.
M. Karadag, A study for determining the launch angle that maximises the total distance travelled by the projectile during its flight in the projectile motion, Phys. Ed. 55 (2020) 033011, https://doi.org/10.1088/1361-6552/ab7f97.
H. Sarafian, What projective angle makes the arc-length of the trajectory in a resistive media maximum? A reverse engineering
approach, Am. J. Comp. Math. 11 (2021) 71, https://doi.org/10.4236/ajcm.2021.112007.
W. J. M. Ribeiro and J. R. de Sousa, Projectile motion: the “coming and going” phenomenon, Phys. Teach. 59 (2021) 168,
https://doi.org/10.1119/10.0003656.
P. Chudinov, V. Eltyshev, Y. Barykin, Analytical construction of the projectile motion trajectory in midair, MOMENTO 62 (2021) 79, https://doi.org/10.15446/mo.n62.90752.
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Copyright (c) 2021 Peter Chudinov, V. Eltyshev, Y. Barykin
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