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Displacement from Average Velocity and Elapsed Time

Multiply average velocity by elapsed time to find signed displacement.

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  1. 1

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    s = v̄ × t; v̄ = s ÷ t; t = s ÷ v̄

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What this tool answers

This tool starts with an already known average velocity. It does not require the initial and final velocities, and it does not infer acceleration.

Formula

s = average velocity × elapsed time.

Worked example: A known average over twelve seconds

An average velocity of 7 m/s over 12 s gives displacement 7 × 12 = 84 m. Direction is represented by the sign of the average velocity.

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Limitations

Average velocity must refer to the same interval as the elapsed time. Displacement is signed and need not equal total distance travelled.

Frequently asked questions

Must motion be at constant velocity for this average-velocity formula?

No. The average velocity must correctly describe the entire entered interval.

Is signed displacement the same as total distance?

No. Motion that reverses direction can have less displacement than total distance travelled.

Why must the averaging interval match the entered duration?

An average computed over a different interval does not describe the displacement during the requested interval.

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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