Computational Solution to the Problems of Projectile Motion under Significant Linear Drag Effect ()
Affiliation(s)
1Department of Physics, School of Mathematics and Physics, China University of Geosciences, Wuhan, China.
2Department of Physics, Faculty of Natural Science, Abdulrahman Al-Sumait University (Sumait-University), Zanzibar, Tanzania.
3Key Laboratory of Tectonics and Petroleum Resources Ministry of Education, China University of Geosciences, Wuhan, China.
4Department of Economic, Zanzibar University, Zanzibar, Tanzania.
ABSTRACT
This paper
investigates the computational solution to the problem of projectile motion
under a significant linear drag effect. The drag force acting on the particle
within the medium of propagation is proportional to the cross-section
area of the projectile, the velocity of the particle, and the medium’s density.
From zero air resistance force (vacuum) the problems are well known with
solutions, but with air resistance (drag force) the problems have no exact
analytical solutions which lead to most of the significant scientific research
works using numerical methods. Therefore, this study aims to present the
analysis of the computational modelling of drag force exerted by the
surrounding medium on the linear motion. However, the horizontal and vertical
components of differential equations of motion were derived and characterized
from the solutions governed by Newton’s 2nd law of motion. The
baseball features were presented as the projectile (object) in this work.
In addition, the numerical
computational results were received from FreeMat. The results were discussed
and compared with those from the vacuum. Moreover, the displacements,
velocities, range, and trajectories of the projectile were all discussed and a
conclusion was made.
Share and Cite:
Said, A. , Mshewa, M. , Mwakipunda, G. , Ngata, M. and Mohamed, E. (2023) Computational Solution to the Problems of Projectile Motion under Significant Linear Drag Effect.
Open Journal of Applied Sciences,
13, 508-528. doi:
10.4236/ojapps.2023.134041.
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