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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)
