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## Speed formula - this is how you calculate it

Are you having problems dealing with the speed formula? Read here how to use it and how to calculate with it.

### The speed formula

Often, for example at school, one uses the speed formula to calculate. It is made up of three variables.

- "s" stands for the distance and usually has the unit meter or kilometer. The distance is the distance that has been covered. This path is covered in a certain time.
- "t" stands for the time that is required to cover a certain distance (s). The unit of time is seconds (s) or hours (h). Caution: The symbol for the unit "second" is s - but s is also the symbol for the distance!
- "v" stands for the speed. It has the unit kilometers per hour (km / h) or meters per second (m / s). It is calculated from the quotient of the other two variables s and t (v = s / t).

### Calculation example

When calculating with the speed formula, two values of the three variables are normally given and the third value can thus be calculated by rearranging.

- If you have given the variables s and t, the result is v = s / t ("s by t").
- If v and s are known, t = s / v ("s by v") is calculated.
- If you know v and t, s = vxt ("v times t") is calculated.

For example, if one has the distance s = 10 m and the time t = 5 s, then v is calculated as follows:

- The speed is: v = s / t
- If you insert the values, the speed is: v = 10 m / 5 s
- After shortening the result: v = 2 m / s
- The speed v is 2 meters per second.
- If you want to have the speed v in kilometers per hour (km / h), you just have to multiply the obtained value by the factor 3.6. In this calculation, v = 7.2 km / h.
- If you get the value in kilometers per hour (km / h), but want it in the unit meters per second (m / s), you just have to divide the obtained value by the factor 3.6.

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