Average Velocity Calculator

Average velocity is one of the first and most important ideas in the study of motion, the overall rate at which something changes position, and this calculator works it out two ways depending on what you know. Choose the displacement and time method, enter how far the object moved and how long it took, and it returns the average velocity. Or choose the initial and final velocity method, useful when acceleration is steady, and it averages the two. Either way the result updates as you type. The first method captures the very definition of average velocity: displacement divided by time, the change in position spread evenly over the journey. It is the same arithmetic as working out an average speed from distance and time, but with an important difference, because velocity carries direction. Average velocity uses displacement, the straight-line change in position from start to finish, so a runner who laps a track and returns to the start has zero average velocity even though they clearly moved, which is a subtle point this tool helps make concrete. The second method works because under constant acceleration the velocity changes evenly, so the average is simply the midpoint of the starting and ending velocities, a result that feeds directly into the equations of motion. The calculator uses metres and seconds, giving metres per second, but the same formulas apply in any consistent units. That makes it genuinely useful for physics students learning kinematics and checking homework, for sport and fitness calculations, and for anyone needing a quick average rate of travel. Because the result recalculates live, you can adjust the displacement, time or velocities and immediately see the effect. The formulas and a worked example are explained clearly below.

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average velocity (m/s)

How it works

From displacement and time, the average velocity is the displacement divided by the time. From an initial velocity u and a final velocity v under constant acceleration, the average velocity is (u plus v) divided by 2. Both give the same answer when the acceleration is uniform.

Worked example

A car moves 100 metres in 20 seconds. Its average velocity is 100 divided by 20, which is 5 metres per second. If instead it sped up steadily from 2 to 8 metres per second, the average velocity would be (2 plus 8) over 2, which is also 5 metres per second.

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