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Physics formula

How to calculate velocity

Velocity describes how fast position changes over time.

See the formulaOpen calculator
Direct answer
Formula
v = d / t

Use the table below to match each symbol with the right input. Keep units consistent before you start.

Velocity formula
Start here when you only need the equation and variable names.
Formula
v = d / t

Velocity describes how fast position changes over time.

Variable meanings
Check each symbol, meaning, and unit before you calculate.
SymbolNameDescriptionUnit
vVelocityRate of motion.m/s
dDistanceDistance traveled or displacement.m
tTimeElapsed time.s
When to use this formula
Check that your situation matches the formula before you trust the result.
  • Works for straight-line motion when distance and time are known. Add sign or direction when displacement matters.
Step-by-step method
Follow these steps when you are solving it by hand.
  1. 1Convert distance and time to matching units.
  2. 2Divide distance by time.
  3. 3Add direction if the problem uses displacement.
Examples
These sample numbers show the order of operations and units.
Sprint split
d
100 m
t
9.58 s
  1. 1.v = 100 / 9.58
  2. 2.v = 10.44 m/s
Result
The average velocity is 10.44 m/s.
Trip speed
d
300 km
t
4 h
  1. 1.v = 300 / 4
  2. 2.v = 75 km/h
Result
The average speed is 75 km/h.
Mistakes to avoid
Small input or unit errors can change the answer a lot.
  • Mixing metric and imperial units before solving the velocity formula.
  • Forgetting squared units such as m^2, m/s^2, or velocity squared.
  • Dropping negative signs when direction matters.
  • Rounding measured values too early in the calculation.
Open the Velocity Calculator
Open the calculator for the answer without rewriting the formula.

Enter your values in the related calculator, then compare the output with the hand method above.

Open Velocity Calculator
FAQs
Short answers for common formula questions.
Can I calculate Velocity by hand?

Yes. Write the units next to each value, convert rates or measurements first, and round only the final answer.

Why does my Velocity result differ from another calculator?

Most differences come from rounding, unit conversions, rate timing, or a slightly different version of the formula.

When is the Velocity Calculator better than hand math?

Open the Velocity Calculator to check several scenarios or skip the hand arithmetic.