A wave traveling along a stretched string is described by the wave function

$D(y,t)=(0\mathrm{.}35m)sin[(2\frac{\text{r}\text{a}\text{d}}{m})y-(5\frac{\text{r}\text{a}\text{d}}{s})t+2\mathrm{.}5$rad$].$

Assume that the string is displaced parallel to the $x-$axis.

$($a$)$ Determine the wave's velocity $-$ i$.$e$.,$ wave speed and direction the wave is traveling.

$($b$)$ Use the graph paper provided to draw a snapshot graph of the string at $D(y,0s)$ that shows at least one full wavelength. Draw and label arrows indicating the direction of motion and acceleration of the segment of string at $)m.$ Your GTA will specify which point to use. You need only indicate directions, not magnitudes. Is the segment speeding up or slowing down? How do you know?

$($c$)$ A $1\mathrm{.}6m$ segment of this string has a mass of $88g.$ Determine the tension in the string.