Answer
Amplitude=4
Period$=2$ sec
Frequency$=\frac{1}{2}$ cycles per second
Work Step by Step
We first need to compare $s(t)=4\sin\pi t$ with the standard form of the equation $s(t)=a \sin wt$ where $a$ represents the amplitude and $w$ represents the angular speed.
Comparing the two equations, we find that $a=4$. This means that the amplitude is 4 inches. By comparison, we also find that $w=\pi$. $w$ can be used to find the period through the formula:
Period$=\frac{2\pi}{w}$
Period$=\frac{2\pi}{\pi}$
Period$=2$ sec
Since frequency is the reciprocal of period,
Frequency$=\frac{1}{2}$ cycles per second
