Abstract
We consider the motion of a massive point-like projectile thrown with initial velocity with respect to horizontal in a two-dimensional vertical plane under the influence of gravity in a viscose media. Two different velocity-dependent resistive media models are considered—linear and quadratic. With an objective to utilizing a Computer Algebra System (CAS), specifically Mathematica [1] numerically we solve the corresponding equations of motions. For a set of compatible parameters characterizing viscose forces graphically we display comparing the trajectories explicitly showing the impact of the models. Utilizing the model-dependent trajectory equations numerically we evaluate their associated arc-lengths. What distinguishes our approach vs. the existing body of work is the notion of the “reverse engineering”. Meaning, utilizing our numeric data we establish their corresponding analytic counter parts. Ultimately, utilizing both outputs numerically and analytically we determine the matching initial projectile angles maximizing their respective arc-lengths.
Highlights
Motion of a point-like massive projectile thrown in vacuum with initial velocity in a vertical plane under the sole action of gravity is a theme of interest in introductory physics and engineering college courses [2] [3]
We set out a list of objectives investigating information about the trajectories of projectiles projected in a vertical plane under the action of gravity pull and two different modes of velocity-dependent viscous medias
We have provided set of Mathematica codes so that interested readers familiar with this Computer Algebra System (CAS) may run the codes reproducing our results
Summary
Motion of a point-like massive projectile thrown in vacuum with initial velocity in a vertical plane under the sole action of gravity is a theme of interest in introductory physics and engineering college courses [2] [3]. Simple it sets the foundation to building more realistic applicable cases. The upgrade of the situation is a case where the projectile is thrown in a resistive, viscose media
Sign-in/Register to view highlights & summary 
Published Version (
Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call