Simple Harmonic Motion

Maximum Velocity

v_{\max}=A\omega

Maximum Acceleration

a_{\max}=A\omega^2

Spring Period

T=2\pi\sqrt{\frac{m}{k}}

Pendulum Period

T=2\pi\sqrt{\frac{\ell}{g}}

Displacement - Starting at Max Displacement

x\left(t\right)=A\cos\left(\omega t\right)

Displacement - Any position

x\left(t\right)=A\cos\left(\omega t+\phi\right)