When an open organ pipe resonates in its fundamental mode then at the centre of the pipe:-

The vibrations of a string of length $60 \mathrm{cm}$ fixed at both ends are represented by the equation :$y=4\sin \left(\frac{\pi x}{15}\right)\cos \left(96\pi t\right)$ where $x$ and $y$ are in $\mathrm{cm}$ and$t$ in seconds.

What is the maximum displacement in $\left(\mathrm{cm}\right)$ of a point at $x=5 \mathrm{cm}$ ?