Velocity Calculator
Calculate average velocity from distance and time (v = d/t), with results in m/s and km/h. Includes a 100 m sprint example and the difference between speed and velocity.
Results
Velocity
- km/h
- 37.5783
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Educational estimates · not financial advice · free, no signup
Formula / how it works
v = d ÷ t. With distance in metres and time in seconds the result is in m/s. Multiply by 3.6 to convert m/s to km/h.
Detailed guide
What it is, how to use it, how to read the numbers, common mistakes, a worked example, formulas, and FAQs.
What this calculator is
Average velocity is the distance travelled divided by the time taken, v = d/t. It is the most basic relationship in kinematics and the starting point for problems about runners, vehicles and projectiles. This calculator takes the distance in metres and the time in seconds and returns the average velocity in metres per second, along with the equivalent in kilometres per hour. Strictly, velocity is a vector with direction, and average velocity uses displacement, not path length. For motion in a straight line with no reversal, speed and velocity have the same magnitude, and the calculator treats the inputs that way.
When to use / who it helps
- You know how far something travelled and how long it took and want its average velocity.
- You are solving a physics problem on uniform motion.
- You want to compare a sprint time with a speed in km/h.
- You are converting a time over a measured course into a speed.
- You want a quick check of whether a claimed speed is plausible.
How to use
Steps
- Enter the distance in metres.
- Enter the time in seconds.
- Read the velocity in metres per second.
- Read the km/h conversion.
- To solve for distance or time, rearrange: d = v × t and t = d ÷ v.
- Convert units first if your data are in km, miles or minutes.
How to interpret results
- The result is an average over the whole interval, not the instantaneous velocity at a moment.
- A sprinter's average hides acceleration at the start and top speed later.
- 1 m/s equals 3.6 km/h, so 10 m/s is 36 km/h.
- For round trips, displacement is zero so average velocity is zero even though average speed is not.
- Constant velocity means the distance grows in direct proportion to time.
Common mistakes & gotchas
- Mixing units, such as metres with minutes, so the m/s result is wrong.
- Using path length for velocity in a problem that uses displacement.
- Forgetting to convert km/h to m/s by dividing by 3.6.
- Applying v = d/t to accelerating motion as though it were the speed at one instant.
- Entering time as zero, which is undefined.
Worked example
Worked example — 100 m in 9.58 seconds
- v = d ÷ t = 100 ÷ 9.58 ≈ 10.438 m/s.
- Convert to km/h: 10.438 × 3.6 ≈ 37.58 km/h.
- Interpretation: this is the average over the run, including the start.
- In mph, 37.58 km/h ≈ 23.35 mph.
Result: About 10.44 m/s, or 37.6 km/h, average velocity.
To load the form's own demo values, tap Try example above the Calculate button.
How to calculate / formula
v = d ÷ t. With distance in metres and time in seconds the result is in m/s. Multiply by 3.6 to convert m/s to km/h.
Frequently asked questions
What is the formula for velocity?
Average velocity equals displacement divided by time, v = d/t.
What is the difference between speed and velocity?
Speed is a magnitude; velocity includes direction. Average speed uses total distance, average velocity uses net displacement.
How do I convert m/s to km/h?
Multiply by 3.6.
How do I find distance from velocity?
Multiply velocity by time, d = v × t.
Is this the instantaneous velocity?
No, it is the average over the time interval.
Can I enter kilometres?
Convert to metres first, or compute in km and hours and read the unit accordingly.
Textbook formulas under ideal assumptions. For safety-critical, structural, or regulated work, verify with a qualified engineer and the governing standards. Full disclaimer