(Solved): Find a sine function that models the simple harmonic motion with displacement equal to zero at time ...

Find a sine function that models the simple harmonic motion with displacement equal to zero at time equal zero, the amplitude 10 and the period 3. \[ \begin{array}{c} y=10 \sin \frac{\pi t}{3} \\ y=10 \sin \frac{2 \pi t}{3} \\ y=10 \sin \frac{3 t}{\pi} \\ y=10 \sin \frac{3 t}{2 \pi} \end{array} \]