Velocity as the time derivative of position

Velocity is the rate of change of an object's position vector with respect to time, giving both the speed and direction of motion. It is used in kinematics to find velocity from a known position function.

\boldsymbol{v} = \frac{\mathrm{d} \boldsymbol{r}}{\mathrm{d} t}

What the symbols mean

velocity vector (m/s)
position vector (m)
time (s)

About this formula

  • FieldPhysics
  • TopicKinematics
  • LevelHigh school
  • Also calledvelocity vector, velocity definition, velocity is derivative of position, rate of change of position, instantaneous velocity, kinematics velocity formula
  • SourceWikidata Q11465

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