Acceleration as the derivative of velocity

Gives the acceleration of an object as the instantaneous rate of change of its velocity with respect to time. It is used whenever speed or direction of motion changes.

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

What the symbols mean

acceleration vector (m/s^2)
velocity vector (m/s)
time (s)

About this formula

  • FieldPhysics
  • TopicKinematics
  • LevelHigh school
  • Also calledacceleration formula, acceleration definition, rate of change of velocity, derivative of velocity, instantaneous acceleration, kinematics acceleration
  • SourceWikidata Q11376

Write it in Obsidian

MathLive is a free visual math editor for Obsidian. Run Find a formula, type “acceleration as the derivative of velocity”, and it goes into your note as editable LaTeX. You can also scan formulas from screenshots, PDFs and handwriting.

Related formulas