Projectile Motion Calculator | Launch Angle & Range Solver

⚡ Work & Installation Input to Output:

Input: Users enter initial velocity (u), launch angle (θ), and optional initial height (h).

Processing: The calculator splits motion into two components: 1. Horizontal: \( R = \mu cos(\theta) \times T \) 2. Vertical: \( H = \frac{u^{2} sin^{2(\theta)}}{2g} , T = \frac{2u sin^{(\theta)}}{g} \) It uses standard kinematic equations to compute displacement, time, and velocity at any point.

Output: Results include range, flight time, max height, initial velocity components (Vx, Vy), and optional trajectory plot. Units are auto-converted; invalid inputs trigger helpful alerts.

Testing and Final Adjustments

Check calculations of different launch angles (0 -90 degrees) and speeds before final release. Compare to analytical formulae and familiar physics cases (e.g.,45 angle produces an optimum range on flat ground). Checks on input of missing or negative values and rounds off accurately (2-3 digits). Conduct a UI test to ensure proper display on desktop and mobile gadgets with numeric keypads on mobile devices. Add tooltips of each parameter, units dropdown,n, and error messages of non-numeric entries. Test the accuracy of the trajectory graph (parabolic shape) with sample data such as 20m/s at 45o. Make sure that the compatibility with the browsers is done as well as the compliance with the accessibility and the correct metadata of the search engine to rank higher in the physics and engineering search results.