Free · Physical and mathematical models

Positive-Speed Kinematics and Time-Weighted Averages

Calculate positive speed from distance and time, constant-acceleration final speed, or an average of up to ten positive segment speeds.

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Calculator inputs

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How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
  3. Use the worked example to check the method. Reset restores the starting fields.

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Formula and method

Calculate positive speed from distance and time, constant-acceleration final speed, or an average of up to ten positive segment speeds.

v=d/t; vf=vi+at; mean=Σvit_i/Σt_i

Worked example

Enter these known values and leave the other values blank.

Method
Distance covered
Distance
120 m
Time
10 sec
Velocity
12 m/s

Assumptions and limitations

  • The retained controls require positive speeds, positive travel distance and positive durations. This is one-dimensional speed arithmetic rather than a signed velocity vector.
  • Constant acceleration is assumed for the acceleration mode; final and initial speeds must stay positive.
  • A segment average weights each positive speed by time, which is equivalent to total distance divided by total duration.
  • Average-mode outputs are forward only. A year is exactly 31,557,600 seconds (365.25 days) and a month exactly 2,629,800 seconds (one twelfth of that Julian year); these fixed durations are not calendar arithmetic.

Common questions

How should I use an inverse?

Leave the required unknown empty and supply compatible known values. Multiple mathematical solutions or zero denominators can prevent a unique inverse.

What does this model assume?

The retained controls require positive speeds, positive travel distance and positive durations. This is one-dimensional speed arithmetic rather than a signed velocity vector.

References

Feet per second squared use exactly 0.3048 meters per second squared, replacing a rounded reciprocal factor.

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