Velocity as the derivative of position

Instantaneous velocity is the time derivative of an object's position function, giving how fast and in which direction the position changes at each moment. It is used in kinematics whenever position is known as a function of time.

v(t)=\frac{dx}{dt}

What the symbols mean

instantaneous velocity at time t (m/s)
position along a line (m)
time (s)

About this formula

  • FieldPhysics
  • TopicKinematics
  • LevelHigh school
  • Also calledvelocity derivative of position, instantaneous velocity, velocity from position function, derivative of displacement, rate of change of position

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