The Third Equation of Motion

"The Velocity-Displacement Equation"

This calculator addresses one of the most fundamental equations of motion that appears in physics (specifically kinematics).
It allows you to calculate the relationship between the velocity, acceleration, and displacement of an object moving in a straight line with constant acceleration.

(Show/Hide Information Panel)

When to use this calculator:

• The acceleration is constant (uniform).
• The motion is in a straight line.
• You are not given the time, or you are not required to find it.

Final Speed / Velocity:

mm/s - millimetres per sec.cm/s - centimetres per sec.m/s - metres per secondkm/h - kilometres per hour Inches per secondFeet per secondYards per secondmiles per hour

Initial Speed / Velocity:

mm/s - millimetres per sec.cm/s - centimetres per sec.m/s - metres per secondkm/h - kilometres per hourInches per second Feet per secondYards per secondmiles per hour

Acceleration / Gravity:

mm/s - millimetres per sec per sec.cm/s - centimetres per sec per sec. m/s - metres per second per secondkm/h - kilometres per hour per hourInches per second per secondFeet per second per secondYards per second per second miles per hour per hour

(Optional) Use Gravity:

None / Choose: Earth AverageEquatorial AverageValue at North/South PoleLowest: Mexico CityHighest: Oslo and Helsinki AmsterdamAthensAuckland, NZBangkokBrusselsBuenos AiresCalcuttaCape Town ChicagoCopenhagenFrankfurtEdinburghHavanaHelsinkiIstanbulJakarta KuwaitLisbonLondonLos AngelesMadridManilaMexico CityNicosia New YorkOsloOttawaParisRio de JaneiroRomeSan FranciscoSingapore StockholmSydneyTaipeiTokyoVancouver, BCWashington, DCWellington, NZZurich MercuryVenusMarsJupiterSaturnUranusNeptune PlutoMoonSun

Distance / Displacement:

mm - millimetrescm - centimetres m - metreskm - kilometresInchesFeetYardsmilesrods chainsfurlongs

More Information

Enter whatever values are known, select the appropriate units, then click the 'Calculate' button for instant results.

Basic Formula:

What the variables mean:

v: Final velocity (measured in m/s)

u: Initial velocity (measured in m/s)

a: Constant acceleration (measured in m/s²)

s: Displacement (measured in meters, m)

• Contents &
  Site Map
• Measurement Cross-Reference
• News, Contact Us