Physics

Projectile Motion Calculator

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

Last validated: 2026-02-14

Projectile Motion Calculator computes flight time, range, and peak height from launch conditions. It is useful for physics problems and trajectory intuition checks. The tool gives consistent outputs for idealized no-drag motion. Use it to compare launch angle and velocity tradeoffs.

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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 launch speed, angle, and initial height if applicable.
Run the tool to compute trajectory summary values.
Adjust angle/velocity to explore range and height changes.

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.

Scenario Compare (A vs B)

Use this to compare two input sets and quantify change in key outputs.

Scenario A

Initial speed

Angle degrees

Horizontal velocity

Vertical velocity

Time of flight

Horizontal range

Scenario B

Initial speed

Angle degrees

Horizontal velocity

Vertical velocity

Time of flight

Horizontal range

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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