Explanation:
Given, \(v = 2\;m/s,\,\,T = 16\;s\) and \(t = 2\;s\)
As the velocity, \(\quad v=A \omega \cos \omega t\)
\( \Rightarrow \quad 2 = A \cdot \frac{{2\pi }}{{16}} \cdot \cos \frac{{2\pi }}{{16}} \cdot \,\,\,2\left[ {\because \omega = \frac{{2\pi }}{T}} \right]\)
\( \Rightarrow \quad A = \frac{{16\sqrt 2 }}{\pi } = 7.2\;\,m\)