Average Velocity Calculator

How it works

1. 1Choose a method: "Displacement and time" uses v̄ = Δx ÷ t; "Initial and final velocity" uses v̄ = (v₀ + v) ÷ 2 (valid under constant acceleration).
2. 2Enter your values in metric (m, m/s) or imperial (ft, ft/s) — toggle the unit system at the top and all fields update instantly.
3. 3The result panel shows average velocity in your chosen unit; the stat grid also displays the equivalent in km/h or mph and in m/s for quick reference.

Use cases

• Physics students checking kinematics homework for straight-line motion problems.
• Coaches and athletes computing average race pace from split times and distances.
• Engineers estimating conveyor or vehicle speeds from start/stop velocity readings.

Frequently asked questions

What is the formula for average velocity?

Average velocity is v̄ = Δx ÷ t, where Δx is the total displacement (not distance) and t is the elapsed time. For motion under constant acceleration you can also use v̄ = (v₀ + v) ÷ 2, which gives the arithmetic mean of the initial and final velocities. Both formulas yield the same result when acceleration is constant.

How is average velocity different from average speed?

Average speed is total path length divided by time and is always positive. Average velocity uses displacement — the straight-line change in position — and can be negative if the object ends up behind its starting point. For a round trip back to the start, average velocity is zero while average speed is positive.

Can you show a worked example using the endpoints method?

Yes. A car accelerates uniformly from rest (v₀ = 0 m/s) to 20 m/s. Using v̄ = (v₀ + v) ÷ 2: v̄ = (0 + 20) ÷ 2 = 10 m/s. This equals 36 km/h or roughly 22.4 mph. The same result follows from the displacement formula if you know the car covered 100 m in 10 s: v̄ = 100 ÷ 10 = 10 m/s.