A very long string is oriented horizontally and kept tight by a clamp very far away. A vibrator at theleft end $($x$=0)$ produces a sinusoidal wave traveling along the string with velocity of v $=105$ m$/$s$.$The frequency of the wave is $120$ Hz$.$ The amplitude of the wave is $5$ mm$.$ At t $=0$ the left end ofthe string is at maximum positive displacement.a$.$ Calculate the wavelength $2,$ the wave number k$,$ and the angular frequency co$.$b$.$ write an equation for the y$-$coordinate of the string as a function of x and t$.$ y$($x$,$ t$)=?$c$.$ Find the maximum y$-$velocity and max y$-$acceleration of a point on the string.