A transverse wave on a string is described with

the wave function y$($x$,$t$)=(\mathrm{.}50$cm$)$sin$(1\mathrm{.}57^\{-1\}$x$-6\mathrm{.}28$s$^\{-1\}$t$).($a$)$ What is the wave velocity of the wave? $($b$)$

What is the magnitude of the maximum velocity of the string perpendicular to the direction of the motion?