Find a Function That Models Simple Harmonic Motion Having the Given

Multiple Choice

Find a function that models simple harmonic motion having the given properties. Assume that the displacement is maximum at time $t = 0$ .amplitude $2.5 \mathrm {~m}$ , frequency $750 \mathrm {~Hz}$

A) $y = 2.5 \sin 750 \pi t$
B) $y = 2.5 \sin 1500 \pi t$
C) $y = 2.5 \sin 1500 t$
D) $y = 2.5 \cos 750 \pi t$
E) none of these