How to Calculate Projectile Motion

What is Projectile Motion?

Projectile motion describes the parabolic path of an object launched into the air and subject only to gravity (ignoring air resistance). Key equations relate launch speed, angle, maximum height, horizontal range, and time of flight.

Step-by-Step Guide

1. 1Horizontal: x = v₀ × cos(θ) × t (constant velocity)
2. 2Vertical: y = v₀ × sin(θ) × t − ½ × g × t²
3. 3Max height: H = (v₀ × sin(θ))² / (2g)
4. 4Range (flat ground): R = v₀² × sin(2θ) / g · max at θ=45°

Worked Examples