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 zero at time $t = 0$ .amplitude 10 m, frequency $2.0 \mathrm {~Hz}$

A) $y = 4 \sin 10 \pi t$
B) $y = 10 \sin 4 t$
C) $y = 2 \sin 4 \pi t$
D) $y = 10 \sin 4 \pi t$
E) $y = 5 \sin 4 \pi t$