What formulas are used?

Range = v₀²·sin(2θ)/g, max height = h₀ + (v₀·sin θ)²/(2g), time of flight = (v₀·sin θ + √(v₀²·sin²θ + 2g·h₀))/g, with g = 9.80665 m/s².

Does air resistance count?

No — this is the ideal (vacuum) model. Real projectiles travel shorter due to drag, especially at high speeds.

From ground level, 45° maximizes range. From a height, the optimal angle is lower than 45°.

Yes — pick 'Imperial (ft, ft/s)' and the calculator converts internally to SI then back to imperial for display.

Yes — all in your browser, no servers involved.

Range, max height, time of flight — for any launch angle and velocity.

100% private — no uploads Free & unlimited Read tutorial

Watch a quick simulation of this tool in action — no file needed.

Follow these steps — everything happens instantly in your browser.

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Step 1. Enter the initial velocity (m/s or ft/s).
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Step 2. Enter the launch angle in degrees (0 = horizontal, 90 = straight up).
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Step 3. Optionally enter an initial height (0 for ground-level launch).
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Step 4. See range, max height, flight time and velocity components update instantly.

Everything you might want to know about projectile motion calculator.

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