Physics

Projectile Motion Calculator

Estimate flight time, max height, and range from launch speed and angle.

Last validated: 2026-02-14

Use this free online Projectile Motion Calculator to compute flight time, range, and peak height from launch conditions. It is useful for classwork, lab checks, design screening, and engineering sanity checks where units and assumptions must stay visible. The form focuses on Initial speed (m/s), Launch angle (degrees) and returns Projectile Inputs, Projectile Results, so you can move from input to answer without setting up a spreadsheet or custom script. Run one realistic example, adjust the inputs, and compare how the result changes before you copy or share it. Check units and formula assumptions carefully; for safety-critical or code-governed work, validate the result with authoritative references.

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Input Pattern

Enter values in the left panel, keep units explicit, run the calculation, then copy or share the result. Invalid fields are highlighted immediately.

Projectile Inputs

Assumes launch and landing at same height, no air resistance.

Projectile Results

Horizontal velocity: 14.142136 m/s

Vertical velocity: 14.142136 m/s

Time of flight: 2.883208 s

Max height: 10.193680 m

Horizontal range: 40.774720 m

How to use this tool

Enter Initial speed (m/s), Launch angle (degrees) for the projectile motion calculator, keeping units, dates, or text format consistent with the form labels.
Confirm all units and known variables before running the calculation so the formula is applied consistently.
Click "Run the tool" and review Projectile Inputs, Projectile Results for the primary output.
Verify units and assumptions, especially before using the result for design, lab, or safety-sensitive work.

Worked Example

Auto-generated from the tool's current default or entered inputs.

Example Inputs

Initial speed: 20.0
Angle degrees: 45.0
Horizontal velocity: 14.142135623730951
Vertical velocity: 14.14213562373095
Time of flight: 2.8832080782326095
Horizontal range: 40.77471967380224

Expected Outputs

Initial speed: 20
Angle degrees: 45
Horizontal velocity: 14.142136
Vertical velocity: 14.142136

Interpretation

Initial speed is 20.0. Use this as a decision input, not as a standalone conclusion.
Angle degrees is 45.0. Use this as a decision input, not as a standalone conclusion.
Horizontal velocity is 14.142135623730951. Use this as a decision input, not as a standalone conclusion.
Confirm unit consistency and operational constraints before applying this result in production or field conditions.

Confidence and limitations

Outputs are deterministic formula results and depend entirely on input quality and units.
Results are for planning and learning; verify with domain standards before safety-critical use.
Models are idealized and may ignore drag, friction, nonlinearity, and measurement error.

Formula References

SI-unit forms of classical mechanics and wave equations.
Idealized models unless explicitly stated otherwise.

Assumptions

Outputs are deterministic formula results and depend entirely on input quality and units.
Results are for planning and learning; verify with domain standards before safety-critical use.
Models are idealized and may ignore drag, friction, nonlinearity, and measurement error.

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Projectile Motion Calculator

Input Pattern

Projectile Inputs

Projectile Results

How to use this tool

Worked Example

Example Inputs

Expected Outputs

Interpretation

Confidence and limitations

Formula References

Assumptions

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