top of page
Blackboard showing different formulas. Image source:

Relation between Acceleration, Velocity and Displacement

The phase relation as well as the magnitudes of acceleration, velocity and displacement become evident when we make the integral or time derivative respectively (thanks to Sir Isaac Newton)

​​​With the acceleration a as reference

the velocity v is the integral of a

​and the displacement d becomes




With reference to the displacement


the velocity is the fist time derivative

and the acceleration becomes

Equations regarding acceleration, velocity and displacement
bottom of page