For a simple harmonic oscillator whose displacement from equilibrium is modeled by x=Acos(ωt), which of the following expressions best represents its velocity as a function of time?
a) v(t)=Aωsin(ωt)
b) v(t)=−2Aωsin(ωt)
c) v(t)=−Aωsin(ωt)
d) v(t)=−Aωcos(ωt)