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Final Velocity after Constant Acceleration

Add the change in velocity from constant acceleration to a known initial velocity.

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Result

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Final velocity v (m/s)
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Velocity change Δv (m/s)
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Calculation steps

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  1. 1

    Formula selected

    The calculator uses the following formula or method.

    v = u + at

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What this tool answers

This page predicts the final velocity in a constant-acceleration model. It differs from finding an average from the net position change over a duration.

Formula

v = u + a × t.

Worked example: Four seconds of deceleration

An initial velocity of 9 m/s with acceleration −0.75 m/s² for 4 s gives final velocity 9 − 3 = 6 m/s. A negative acceleration does not automatically mean a negative final velocity.

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Limitations

Acceleration must remain constant over the interval. Interpret signs consistently. The equation does not include constraints that might end the motion earlier.

Frequently asked questions

Why can negative acceleration leave a positive final velocity?

The reduction in velocity can be smaller than the initial positive velocity.

What quantity does acceleration times time add here?

It adds the signed change in velocity over the interval.

Does this final-velocity expression require position inputs?

No. It uses initial velocity, constant acceleration and elapsed time.

Sources
  • No external reference is listed for this calculator. Its formula and variable definitions are shown above.
Limitations
  • The model uses the stated units and idealized assumptions. Check applicability, tolerances, and safety requirements for real equipment.
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