ToolJovia
Math

Ideal Projectile Motion Calculator

Calculate a drag-free flight time, range, peak height and bounded sample trajectory under entered gravity.

✓ Browser-local processing

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How to use Ideal Projectile Motion Calculator

Resolve launch speed into horizontal/upward components. A stable ground-intersection root determines flight time; horizontal motion gives range, and positive upward velocity adds vy²/(2g) to peak height. A downward launch at ground level has zero flight time.

  1. Enter launch speed (m/s), angle above horizontal (degrees), initial height above ground (m), user gravity (m/s²).
  2. Choose the stated convention and check the units and supported model.
  3. Calculate, inspect the result, then copy or download it.

Good to know

  • Nonnegative m/s launch speed/initial meters, angle−90° to90°, positive user gravity m/s². Ideal point mass with no drag, wind, aiming or real-flight guarantee. Samples are model points, not measurements.
  • Runs locally. Text/JSON fields are capped at30,000 characters; stricter page-specific and numeric-string limits also apply. Numeric inputs are bounded to magnitude1e15 and nonzero magnitude at least1e-100 unless an exact-string mode states otherwise. Approximate summaries use12 significant digits; CSV numeric cells retain the complete stored value and potentially formula-like string cells gain a protective apostrophe; unsupported, non-finite or detected underflow states return an error.

Common questions

Can this predict an actual object’s landing point?

It evaluates only a stated drag-free point-mass model. Real trajectories depend on forces and conditions that are not measured or modeled here.

Is the input uploaded or saved?

No. The tool calculates inside this browser tab and provides a local download; it does not persist your input.

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