Graphs of position, velocity, and acceleration

In SHM, the general equations for position, velocity, and acceleration are:

x(t) = A cos(wt + f)

v = dx/dt = -Aw sin(wt + f)

a = d2x/dt2 = -Aw2 cos(wt + f)

Whatever is multiplying the sine or cosine represents the maximum value of the quantity. Thus:

xmax = A

vmax = Aw

amax = Aw2

Angular frequency:

Graphing the position, velocity, and acceleration allows us to see some of the general features of simple harmonic motion: