State the laws of transverse vibration of string.

Show that for a wave travelling on a string $\frac{{\mathrm{y}}_{\max }}{{\mathrm{u}}_{\max }}=\frac{{\mathrm{u}}_{\max }}{{\mathrm{a}}_{\max }}$

where $y$ denotes displacement, u denotes particle speed and a denotes particle acceleration.