Is Projectile Motion Calculator free to use?

Yes, Projectile Motion Calculator is completely free. No account, no sign-up, and no hidden fees required.

Is my data safe when using Projectile Motion Calculator?

Your data never leaves your device. All processing happens locally in your browser — nothing is uploaded to any server.

Calculators

Projectile Motion Calculator

Calculate projectile trajectory, range, max height, and flight time — with launch angle slider, trajectory visualization, and planetary gravity presets

Trusted by 10k+ developers

Launch Parameters

Initial Velocity (m/s)

Launch Angle (°)

0°45°90°

Initial Height (m)

Gravitational Acceleration (m/s²)

Range

254.84 m

Max height: 63.71 m at t = 3.604 s

Flight Time

7.208 s

Max Height

63.71 m

Impact Velocity

50.00 m/s

Impact Angle

45.0°

Vx (horizontal)

35.36 m/s

Vy (vertical)

35.36 m/s

Trajectory

Projectile Motion Formulas

Horizontal distance

x(t) = v₀ × cos(θ) × t

Vertical position

y(t) = h₀ + v₀ × sin(θ) × t − ½gt²

Range (h₀ = 0)

R = v₀² × sin(2θ) / g

Max height

H = v₀² × sin²(θ) / (2g) + h₀

Flight time (h₀ = 0)

T = 2 × v₀ × sin(θ) / g

Optimal angle

θ = 45° (for max range, h₀ = 0)

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