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Ideal Projectile Motion Calculator

Same-height flight: time = 2v sinθ/g; range = v² sin(2θ)/g.

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Calculate ideal projectile motion online

Same-height flight: time = 2v sinθ/g; range = v² sin(2θ)/g. Use this to calculate a stated mathematical relationship from your own explicit assumptions. Units and input order are part of the calculation; no changing external rates or laws are inferred.

How to use it

Enter 3 comma-separated numbers in this order: launch speed m/s, angle degrees, gravity m/s². Choose Calculate. Review the output, then copy or download it.

Calculation method

Same-height flight: time = 2v sinθ/g; range = v² sin(2θ)/g.

Worked examples

Use this to calculate a stated mathematical relationship from your own explicit assumptions. Units and input order are part of the calculation; no changing external rates or laws are inferred.

Reproducible worked example

Settings: No additional settings.

Input:

20, 45, 9.80665

With the input and settings above, the tool produces:

Output:

{
  "flightSeconds": 2.8841929963302353,
  "rangeMetres": 40.78864851911713,
  "maxHeightMetres": 10.197162129779281
}

For this input, “flightSeconds” is 2.8841929963302353; “rangeMetres” is 40.78864851911713; “maxHeightMetres” is 10.197162129779281. These are the named fields in the example output.

Limitations and common mistakes

No air resistance, same launch/landing height, constant gravity and no obstacles. Not a ballistic safety assessment.
Combined input is bounded to 150,000 characters; output text is bounded to 1.2 million characters. Some algorithms impose smaller limits, stated in their error messages.
Use a dot as the decimal separator and commas or spaces between numeric entries. The calculation uses floating-point arithmetic unless exact integers are explicitly stated.

Frequently asked questions

What format should I enter?

Enter 3 comma-separated numbers in this order: launch speed m/s, angle degrees, gravity m/s². The worked example shows the supported structure and actual output.

How can I compute ideal projectile motion online?

Enter 3 comma-separated numbers in this order: launch speed m/s, angle degrees, gravity m/s². Choose Calculate. Review the output, then copy or download it.

Where is my input processed?

The bundled tool processes input in your browser. It does not upload tool input to a conversion service. Other site plugins, analytics, advertising and browser extensions may have separate behavior.