Simple Harmonic Motion

Velocity of particle executing SHM:
v=ωACosωt = ω√A^2-y^2

Accelaration:
a=-ω^2ASinωt = -ω^2y

Kinetic Energy:

E~^k= $ 1 #_ 2 $ mω^2A^2Cos^2ωt

Potential Energy:

E~^p=$1#_2$mω^2A^2sin^2ωt

Total Energy:
E=2π^2mf^2A^2