Displacement calculator

Displacement = initial velocity × time + ½ × acceleration × time².

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Answer

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Displacement = initial velocity × time + ½ × acceleration × time².

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Precision and calculation record

Rounding changes displayed numbers, not the calculation. Text, fractions, matrices and CSV schedules keep their own formatting. Automatic keeps up to 12 significant digits, with money shown to cents where applicable.

Step-by-step calculation

Inputs are substituted below. Each line evaluates the next operation; intermediate values are displayed to 12 significant digits while the calculation uses full precision.

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    Formula and assumptions

    Assumes constant acceleration along one axis. A negative result means displacement opposite to the positive axis.

    Automatic precision shows numbers to 12 significant digits. Thousands separators such as 1,000 are accepted; use a dot for decimals.

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    Using Displacement calculator

    Displacement = initial velocity × time + ½ × acceleration × time².

    Assumes constant acceleration along one axis. A negative result means displacement opposite to the positive axis.

    Next: Basic calculator

    A worked example

    With initial velocity (m/s) = 10, elapsed time (seconds) = 5, constant acceleration (m/s²) = 2, the displacement (m) is 75.

    Before you use the result

    Assumes constant acceleration along one axis. A negative result means displacement opposite to the positive axis.

    Example results for initial velocity (m/s)

    These examples use Elapsed time (seconds): 5; Constant acceleration (m/s²): 2. They are reference calculations, not recommended settings.

    Initial velocity (m/s)Displacement (m)
    550
    1075
    20125
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    ToolOctopus. “Displacement calculator.” Updated 2026-09-26. https://tooloctopus.com/displacement-calculator.

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