Average velocity

v=ΔsΔtv=\dfrac{\Delta s}{\Delta t}

Result unit: m/s

What it describes

The ratio of distance travelled to elapsed time — it tells you how fast, on average, the body was moving.

Symbols

vv
average velocity
[m/s]
Δs\Delta s
distance travelled
[m]
Δt\Delta t
time
[s]

Where it comes from

Average velocity spreads the whole distance over the whole time — it says nothing about how the speed changed along the way. It is the ratio of the **total** distance travelled to the **total** time, not the average of the instantaneous speeds.

When to use it

When you know the distance travelled and the time, and the details of the motion do not matter. Note: if the body turns back, Δs\Delta s is the length of the path, not the displacement.

Example

A car travelled 150 km in 2 h. Find its average velocity.
SubstitutionΔs=150\Delta s=150 km, Δt=2\Delta t=2 h.
Resultv=1502=75v=\dfrac{150}{2}=75 km/h.

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