Calculate momentum as mass times velocity (p = mv), or find velocity from mass and momentum, kinetic energy or impulse, in metric or US units.

A negative value means the opposite direction along your chosen axis.

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Mass to Velocity Formula

The following classical equation calculates signed velocity from mass and momentum; mass alone does not determine velocity.

V = p / m
  • Where V is the velocity (m/s)
  • p is the momentum (kg*m/s)
  • m is the mass (kg)

To calculate velocity from mass, you must know the value of the momentum since momentum relates velocity and mass. Once you know the momentum, simply divide by the mass to get the velocity.

Meters per Second to Feet per Second Conversion Table (1 m/s = 3.28084 ft/s)
Meters per Second (m/s) Feet per Second (ft/s)
0.10.328
0.51.640
13.281
1.54.921
26.562
39.843
516.404
7.524.606
1032.808
1239.370
1549.213
2065.617
2582.021
3098.425
35114.829
40131.234
45147.638
50164.042
60196.850
100328.084
*Since 1 ft = 0.3048 m exactly, 1 m/s = 1/0.3048 ft/s ≈ 3.28084 ft/s. Displayed table values are rounded.

How to Calculate Velocity from Mass?

Example Problem:

The following example outlines the steps and information needed to calculate classical velocity from mass and momentum.

First, determine the momentum. In this example, the momentum is found to be 500 kg-m/s.

Next, determine the mass. For this problem, the mass is found to be 10 kg.

Finally, calculate the velocity from mass using the formula above:

V = p / m

V = 500 / 10

V = 50 m/s