Linear Displacement Calculator

This calculator addresses one of the most fundamental equations of motion that appears in physics (specifically kinematics).
It is used to calculate the displacement of an object moving with constant acceleration.

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When to use this calculator:

• The acceleration is constant (uniform). If the acceleration changes, this tool won't work.
• You know the initial speed, the time, and the acceleration, and you want to find out how far the object went.
• You are dealing with 'free fall' (in which case you can pick the relevant value for the strength of gravity from an extensive list.)

Distance / Displacement:

mm - millimetrescm - centimetresm - metreskm - kilometres InchesFeetYardsmilesrodschainsfurlongs

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 second Yards per second per secondmiles per hour per hour

(Optional) Use Gravity:

None / Choose:Earth AverageEquatorial AverageValue at North/South PoleLowest: Mexico City Highest: Oslo and HelsinkiAmsterdamAthensAuckland, NZBangkokBrusselsBuenos AiresCalcutta Cape TownChicagoCopenhagenFrankfurtEdinburghHavanaHelsinkiIstanbul JakartaKuwaitLisbonLondonLos AngelesMadridManilaMexico City NicosiaNew YorkOsloOttawaParisRio de JaneiroRomeSan Francisco SingaporeStockholmSydneyTaipeiTokyoVancouver, BCWashington, DCWellington, NZ ZurichMercuryVenusMarsJupiterSaturnUranus NeptunePlutoMoonSun

Time:

pS - picoSecondsnS - nanoSecondsuS - microSeconds mS - milliSecondsS - Secondsm - MinutesH - HoursDays

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:

s: Displacement/Distance (the distance between the starting point and the ending point in a specific direction). Measured in meters, or a similar 'length unit'.

u: Initial Velocity (how fast the object was going at the very beginning). Measured in meters per second (m/s).

t: Time (how long the object was moving). Measured in seconds (s).

a: Acceleration (the rate at which the velocity is changing). Measured in meters per second per second (m/s²).

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