<b>A Case Study on Projectile Motion</b> In this paper, the question of the motion of a projectile thrown at an angle to the horizon is learned. With zero air drag force, the analytic resolution is well understood. The course of the projectile is a parabola. In situations of practical interest, such as jaculatory a ball with the event of the strike of the medium the square resistance law is generally used. In that casing the question likely does not have an true analytic resolution and therefore in most expert publications it is solution numerically. Analytic advance to the resolution of the question are not sufficiently professional. Meanwhile, resolve solutions are very handy, for a honest preparedness to win problems and are expressly costly for a qualitative analysis. That is why the representation of the missile summon with a uncombed rough resolve formula under the quadratic air resistance instant big methodological interest. Lately these formulas have been procure. These formulas bestow us to obtain a finished divisive narration of the problem. This delineation perfect divisive formulas for shape the basic eight parameters of missile movement. Analytical formulas have been infer for the six fundamental official dependences of the statement including the trajectory equality in Cartesian coordinates. Also this description contains the judgment of the optimal throwing angle and maximum frequent of the motion. In the destitution of publicity resistance, all these relations transfer into well understood formulas of the hypothesis, speculation of the parabolic motion of the projectile. The proposed analytical discharge oppose from other solutions by clearness of formulas, comfortableness of use and high fidelity relation hallucination is near 1 2 . The motion of a baseball is instant as an example. The converse formulas make it possible to carry out an resolvent examination of the motion of a projectile in a medium with resistance in the highway it is done in the casing of no drag. spherical object, quadratic drag force, analytical formula, relative error 136-141 Issue-3 Volume-2 Vivek. S | Rohini. R | Dhanya. G