Displacement from initial velocity, acceleration and time

Gives the displacement of an object moving with constant acceleration from its initial velocity, the acceleration and the elapsed time. It is one of the standard SUVAT equations used in introductory kinematics.

s = ut + \frac{1}{2}at^{2}

What the symbols mean

displacement (m)
initial velocity (m/s)
constant acceleration (m/s^2)
elapsed time (s)

About this formula

  • FieldPhysics
  • TopicKinematics
  • LevelHigh school
  • Also calledsuvat displacement equation, kinematic equation for displacement, uniformly accelerated motion displacement, displacement with constant acceleration, distance under constant acceleration, position equation constant acceleration

Write it in Obsidian

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

Related formulas