Free · Kinematics calculators — How things move ⏱️

Projectile Speed from Energy, Work or Travel

Calculate projectile speed from energy, work or travel with local equations, selectable units and supported inverse relationships.

  • Formula & worked example
  • Private in your browser
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Calculator inputs

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How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
  3. Use the worked example to check the method. Reset restores the starting fields.

Private by default

Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.

Formula and method

v energy = 100. Values use the worked example unit selections.

v = √(2E/m); v = √(2pAℓ/m); vaverage = distance/time

Worked example

Enter these known values and leave the other values blank.

What do you want to use to estimate muzzle velocity?
Bullet kinetic energy
Bullet kinetic energy
50 J
Bullet mass
10 g
Muzzle velocity
100 m/s

Assumptions and limitations

  • Energy and pressure-work models neglect losses. Pressure is an average over travel, not peak pressure. Travel distance/time is average speed and alone does not establish launch speed or firearm performance.
  • Unit selectors convert known physical quantities. Leave a supported unknown blank; derived inverse branches are limited by the stated model and available captured equations.

Common questions

What does this calculation assume?

Energy and pressure-work models neglect losses. Pressure is an average over travel, not peak pressure. Travel distance/time is average speed and alone does not establish launch speed or firearm performance.

Can I solve for an input?

Where the captured model supplies an inverse, leave that quantity blank and enter the remaining known quantities. A positive square-root or principal trigonometric inverse may represent only one of multiple mathematical branches.

Which unit should I use for the worked example?

The example uses the initial metric unit selection beside each field. Change a unit using its selector to convert the same known quantity; switching a unit does not change the underlying physical value.

References

Captured local equations and controls are preserved with explicit physical-domain and exact-unit corrections where disclosed. Diagram explanations and guides are authored for Bookify. Validation covers the recorded cases and does not certify every real-world application. Pounds-force per square inch use the exact international pound and inch with standard gravity, replacing the rounded captured factor.

Explore kinematics calculators — how things move ⏱️ or browse all physics calculators.