Trajectory Projectile Motion Calculator
Free calculate projectile trajectory, maximum height, range, flight time, and velocity components for projectile motion.
Input Parameters
Earth: 9.81 m/s²
Results
Enter parameters to calculate trajectory
Projectile Motion Formulas
Range
R = (v₀² × sin(2θ)) / g
Maximum horizontal distance
Maximum Height
H = h₀ + (v₀² × sin²(θ)) / (2g)
Peak of trajectory
Flight Time
t = (v₀ × sin(θ) + √(v₀²sin²(θ) + 2gh₀)) / g
Total time in air
Velocity Components
vₓ = v₀ × cos(θ)
vᵧ = v₀ × sin(θ) - gt
Horizontal and vertical velocities