Science

Velocity Calculator

Speed tells you how fast something moves; velocity tells you how fast and in which direction. Enter distance and time and the calculator returns average speed, plus the displacement implied if the motion is in a straight line — with the difference between the two made explicit.

Result
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Average speed
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Average speed (decimal)
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Units per hour
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Displacement (straight-line)
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Scaled per hour
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How velocity and speed are calculated

Average speed is total distance divided by total time:

v = d ÷ t

Velocity adds direction: it is displacement over time, and displacement is the straight line from start to finish. The two are identical for motion in a straight line without reversal, and they differ the moment someone turns around — a car that drives 10 km forward then 10 km back has travelled 20 km (speed 20 km over the trip) but has zero displacement and zero average velocity.

Worked example

A train covers 120 km in 1.5 hours: average speed = 120 ÷ 1.5 = 80 km/h. Scaled to per hour, that is 80 km/h — the same figure, just made explicit. If the train then reverses and returns to its origin, its displacement at the end is 0, so average velocity over the whole journey is 0, even though the speedometer read a healthy 80 the entire time. This is why "how fast was the car going" and "how fast was it travelling toward the office" can have very different answers.

Related ideas you will need next

Speed changes over time in almost all real motion, so acceleration is usually the more useful quantity — and with distance, velocity and acceleration you can reconstruct any constant-acceleration problem. For anything that moves through a medium rather than a vacuum, add the drag model: terminal velocity is where the driving force balances air resistance, which is why a parachutist stops accelerating.

Frequently asked questions

1. What is the difference between speed and velocity?

Speed is distance divided by time and is always a positive magnitude. Velocity is displacement divided by time and includes direction, so it can be zero or negative even when you have been moving.

2. How do I calculate average speed?

Divide the total distance travelled by the total time taken: v = d ÷ t. A 120 km journey in 1.5 hours gives 80 km/h.

3. Why can average velocity be zero while speed is high?

If you return to your starting point your displacement is zero, so average velocity is zero — even though your speed was large the whole time. This is exactly the case for any round trip.

4. What are the common units for speed?

In physics the SI unit is metres per second (m/s). Everyday use is kilometres per hour (km/h) or miles per hour (mph). 1 m/s = 3.6 km/h ≈ 2.237 mph.

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