Average Velocity Calculator
Find the average velocity of an object.
Result
How it is calculated
The tool divides net displacement by elapsed time: v = Δx ÷ t. Displacement is entered in metres and time in seconds, so the first result is in m/s. The second result converts to kilometres per hour with v(km/h) = v(m/s) × 3.6, because 1 m/s equals 3.6 km/h. Both values are rounded to two decimals. Time must be greater than zero or no result appears. A negative displacement is accepted and gives a negative velocity, meaning movement in the opposite direction to the one you chose as positive.
Worked example
A cyclist ends up 1,500 m from the start after 200 s. Velocity in m/s: 1500 ÷ 200 = 7.50 m/s. Convert to km/h: 7.50 × 3.6 = 27.00 km/h. If the rider had looped around and finished only 300 m from the start in the same time, the displacement would be 300 and the average velocity just 1.50 m/s, even though the distance covered was larger.
Common mistakes
- Entering the total distance travelled instead of the straight-line displacement; on a winding or out-and-back route that gives average speed, not average velocity.
- Typing the time in minutes or hours while the displacement is in metres, so the m/s figure is wrong by a factor of 60 or 3600.
- Entering the distance in kilometres and reading the m/s result as if it were km per second.
- Ignoring the sign: a negative result is not an error, it only says the motion was opposite to your positive direction.
About this calculator
Average velocity is a vector quantity defined as total displacement divided by total time, v = displacement / time — distinct from average speed, which uses total distance traveled and is never smaller than the magnitude of average velocity, and is strictly greater whenever the path isn't a straight line in one direction.
This distinction matters in kinematics problems throughout physics education and in real-world applications like GPS-based trip analysis, where a car that drives a winding 50 km route but ends up only 20 km from its start has covered 50 km of distance but only 20 km of net displacement, giving two very different numbers depending on which one is asked for.
Physics students working through one-dimensional and vector kinematics, driving and delivery route planners estimating trip times, and coaches analyzing athletes' straight-line performance all use this formula, converting between m/s and km/h depending on the context.
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