# Formula Average Velocity Start position End position Start time End Time

## Average velocity

`$$ v $$`Unit

`$$ \frac{\mathrm m}{\mathrm s} $$`

The average velocity of a body, e.g. an airplane or a car. It is defined as the distance traveled \(\Delta s = x_2 - x_1\) per time \(\Delta t = t_2 - t_1\):

`\[ v ~=~ \frac{\Delta s}{\Delta t} \]`The*sign*of the average velocity determines whether the body moves to the right (positive \(v\)) or to the left (negative \(v\)).Example: The total distance is \( \Delta s = -20 \, \text{m}\) and the time taken is \( \Delta t = 4 \text{s} \). Then the average velocity is:`\[ v ~=~ \frac{-20 \, \text{m}}{4 \text{s}} ~=~ -5 \, \frac{\text m }{ \text s } \]`

Since the average velocity is negative, the body moves to the left.

## Start position

`$$ x_1 $$`Unit

`$$ \mathrm{m} $$`

Position of the body (on the x-axis)

*from*which the average velocity is to be calculated.## End position

`$$ x_2 $$`Unit

`$$ \mathrm{m} $$`

Position of the body (on the x-axis)

*up to which*the average velocity is to be calculated.## Start time

`$$ t_1 $$`Unit

`$$ \mathrm{s} $$`

The time when the body has the position \(x_1\).

## End Time

`$$ t_2 $$`Unit

`$$ \mathrm{s} $$`

The time when the body has the position \(x_2\).