Analysis of projectile motion in view of conformable derivative

This paper presents new solutions for twodimensional projectile motion in a free and resistive medium, obtained within the newly established conformable derivative. For free motion, we obtain analytical solutions and show that the trajectory, height, flight time, optimal angle, and maximum range dep...

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Bibliographic Details
Published in:Open Physics 2018-10, Vol.16 (1), p.581-587
Main Authors: Contreras, Abraham Ortega, Juan Rosales García, J., Jiménez, Leonardo Martínez, Cruz-Duarte, Jorge Mario
Format: Article
Language:English
Subjects:
02.30.Hq
45.10.Hj
45.20.D
47.10.A
conformable fractional derivative
flight time
Fractional calculus
height
projectile motion
range
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Summary:This paper presents new solutions for twodimensional projectile motion in a free and resistive medium, obtained within the newly established conformable derivative. For free motion, we obtain analytical solutions and show that the trajectory, height, flight time, optimal angle, and maximum range depend on the order of the conformable derivative, 0 < ≤ 1. Likewise, we analyse and simulate the projectile motion in a resistive medium by assuming several scenarios. The obtained trajectories never exceed the ordinary ones, given by = 1, unlike results reported in other studies.
ISSN:2391-5471
2391-5471
DOI:10.1515/phys-2018-0076