Projectile Motion Simulator

Interactive simulation — adjust parameters and watch the visualization update in real time.

Live graphs

How it works

A projectile is any object thrown into the air with an initial velocity, subject only to gravity (and optionally air resistance). The path followed is called a trajectory, which is parabolic in shape when air resistance is negligible. The range, maximum height, and time of flight all depend on the launch angle, initial speed, and gravitational acceleration.

Key equations

Position:x = v₀·cos(θ)·t,   y = v₀·sin(θ)·t − ½gt²
Range:R = v₀²·sin(2θ) / g
Max Height:H = v₀²·sin²(θ) / (2g)