Critical Launch Angle for Projectile Motion

Document Type : Original Article

Authors

Department of Mathematical and Natural Sciences, Faculty of Engineering, Egyptian Russian University, Badr City, Cairo, Egypt.

Abstract

In this research article, we have successfully demonstrated an interesting characteristic of parabolic motion when the launch angle is at a critical value. Specifically, we have discovered an unexpected property associated with the distance between the launched object and the launcher. This property exhibits both a maximum and a minimum distance. We will illustrate that this phenomenon occurs only when the launch angle exceeds a certain threshold, specifically when . It is essential to highlight that our investigation of the launch scenario assumes a ground-level launch and does not account for the effects of air resistance. To emphasize the angular variable, we used dimensionless coordinates in our analysis. Critical launch angle is a key parameter determining the optimal angle for maximizing range and accuracy in projectile trajectories. This study offers a refined method to optimize trajectories for maximum efficiency and precision across various applications, enhancing performance and control. It can be used in various fields, such as sports and civil engineering.

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ERU Research Journal
Volume 3, Issue 3
July 2024
Pages 1471-1479

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