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A simple harmonic motion is represented by: $y = 5(\sin 3\pi t + \sqrt{3}\cos 3\pi t)$ cm. The amplitude and time period of the motion are:
(1) 10 cm, $\frac{2}{3}$ s
(2) 10 cm, $\frac{3}{2}$ s
(3) 5 cm, $\frac{3}{2}$ s
(4) 5 cm, $\frac{2}{3}$ s
$y = 10\sin(3\pi t + \frac{\pi}{3})$. Amplitude = 10 cm. $T = \frac{2}{3}$ s.
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