The Impulsive Force in Projectile Motion : Introducing Supradip's Projecto-Impulse Parameter in Physics — With Significance & Visualization

This research paper presents a detailed formulation directly connecting impulse to the projectile motion in Physics, which simplifiers the understanding and makes these topic better balanced with much clear things. When an impulsive force acts over a brief duration, it imparts linear momentum to a body, immediately establishing initial ballistic conditions under uniform gravity. In this 'Fully Physics thing' research work, the author - Supradip Das Dalal , introduces Supradip's Projecto-Impulse Parameter , defined as: S_Img = I / (m×g) where I is the impulse, m is object total mass, and g is gravitational acceleration. Here in this formula, S means Supradip. It is Dimensionally equivalent to seconds [T] , S_Img physically represents the characteristic flight time scale of the system. By parameterizing the classical kinematics equations with S_Img , the trajectory equations reduce to symmetric expressions where in that new formula, T will be the Total Time of Flight , H_max will be the Maximum Height and and R will be the Maximum Horizontal range here in this Physics research. In This research, the entire theoretical formulation, mathematical derivation, and dataset analysis , visualization, discussion, conceptualization, comprehensive work overall, organising things for it and in this way, all the things were developed & done independently , that is, FULLY SOLO by the author — Supradip Das Dalal , within a record-making timeframe of approximately 1.5 to 2.5 hours , while being a record-young researcher. The impulsive force in projectile motion in the world of Physics is a very important topic itself , and introducing a new parameter make this research even more significant. Supradip's this one honorable contribution to the world of Physics, that is , introducing this new parameter in Physics, is a very big milestone in the world of research & Physics and all over. All the things like the discussion, significance , derivations , theory and all those things are comprehensively and perfectly described here.