Calculate final velocity from force, mass and time with v = v₀ + Ft/m, or solve for force, mass or time; also finds power from force times velocity.
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Force to Velocity Formula
For constant mass and one-dimensional classical motion, the following equation gives velocity from rest using average net force over the interval. With an initial velocity, add v₀ to the result.
- V is final velocity from rest (m/s)
- F is the average net force along the chosen direction (N)
- m is the mass (kg)
- t is the time (s)
For motion from rest, divide average net force by mass and multiply by elapsed time. Add the initial velocity when supplied. Signed force and velocity use one consistent direction.
| Meters per second (m/s) | Kilometers per hour (km/h) |
|---|---|
| 0.5 | 1.8 |
| 1 | 3.6 |
| 1.5 | 5.4 |
| 2 | 7.2 |
| 2.5 | 9.0 |
| 3 | 10.8 |
| 3.5 | 12.6 |
| 4 | 14.4 |
| 4.5 | 16.2 |
| 5 | 18.0 |
| 6 | 21.6 |
| 7.5 | 27.0 |
| 8 | 28.8 |
| 9 | 32.4 |
| 10 | 36.0 |
| 12 | 43.2 |
| 15 | 54.0 |
| 20 | 72.0 |
| 25 | 90.0 |
| 30 | 108.0 |
| SI relation: 1 m/s = 3.6 km/h. | |
How to Calculate Velocity From Force?
Example Problem:
The following example assumes motion from rest, a constant 10 kg mass and a 75 N average net force over 2 seconds.
First, determine the force. In this example, the force is found to be 75 N.
Next, determine the mass. For this problem, the mass is found to be 10 kg.
Next, determine the time. In this case, the time is measured to be 2 seconds.
Finally, calculate the velocity using the formula above:
V = F/m*t
V = 75/10*2
V = 15 m/s
