Simple Harmonic Motion

Simple harmonic motion is a motion of constant amplitude for which the acceleration is proportional but oppositely directed to the displacement from the equilibrium position (meaning that even though a and s are proportional, one will be positive and one will be negative).

An object continuously oscillates from a maximum point to an equilibrium position to a minimum point and back. This movement can be modeled as y=sinx or y=cosx.

s/t, v/t and a/t graphs can be created for simple harmonic motion.

The s/t graph can be differentiated to show the v/t graph, and the v/t graph can be differentiated to show the a/t graph. Integration can be used to go back from a/t to v/t and from v/t to s/t graphs.