Projectile Motion Calculator
Analyze the parabolic path of an object. Enter the initial velocity and launch angle to calculate the maximum height, total flight time, and horizontal range.
🚀 Input Parameters
Results
Max Height ($H$)
20.39 m
Total Time ($t$)
2.88 s
Horizontal Range ($R$)
40.79 m
Changes update in real-time. Use these values for your physics homework or lab reports.
Understanding Projectile Motion Equations
Projectile motion occurs when an object is launched into the air and is acted upon only by the force of gravity. On this site, we assume ideal projectile motion, meaning air resistance is neglected for simplicity.
Max Height Formula
H = (v₀² * sin²θ) / 2g
Flight Time Formula
t = (2 * v₀ * sinθ) / g
Range Formula
R = (v₀² * sin 2θ) / g
Real-World Examples
From a football being kicked to a satellite being launched into orbit, the principles remain the same. The horizontal velocity ($v_x$) remains constant, while the vertical velocity ($v_y$) changes due to the constant acceleration of gravity ($9.81 m/s^2$ on Earth).
Pro Tip for Students:
For maximum horizontal distance on level ground, the ideal launch angle is always 45 degrees. Any angle higher or lower will result in a shorter range!