Authors : Vedaant Karthik

Volume/Issue : Volume 11 - 2026, Issue 8 - August

Google Scholar : https://tinyurl.com/ykr8jump

DOI : https://doi.org/10.38124/ijisrt/26aug1027

Note : A published paper may take 4-5 working days from the publication date to appear in PlumX Metrics, Semantic Scholar, and ResearchGate.

Abstract : Motion in a plane under constant gravity provides the foundation for predicting parabolic paths in mechanical and aerospace engineering. This paper, using the fundamentals of projectile motion, focuses on three main aspects of mechanical engineering: optimization of conveyor belt discharge hopper placement, dual-angle targeting for pressurized nozzles, and interceptor trajectory for defensive systems. The purpose of this research is not to create a formula or an equation that is correct in every aspect, but rather to create a middle ground between rudimentary physics and complex simulation software. By analyzing the mechanics of projectile motion in an ideal drag-free system with uniform gravity and then creating a lightweight Python framework that integrates non-linear atmospheric drag alongside baseline closed-form algebraic equations, this study examines the relationship between physical variables such as launch velocity, inclination angle, and target coordinates. Ultimately, it shows how numerical modeling can bridge theoretical mechanics and practical physics at least in the initial stages of engineering design.

Keywords : Projectile Motion, Quadratic Equations, Planar Kinematics, Conveyor Belt Discharge, Fluid Nozzles, No-Escape Zone, Runge-Kutta Method, Air Resistance, Aerodynamic Drag.

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