To stand or to travel, part deux

The velocity of a transverse wave on an infinitely long string is $c$. At $t = 0$ the string has shape given by $$y(x,t=0) = -\frac{V_{\scriptscriptstyle 0}}{c k} \cos\left(kx + \frac{2\pi}{3}\right)$$ and velocity distribution $$v_y(x,t=0) = V_{\scriptscriptstyle 0}\sin\left(kx + \frac{2\pi}{3}\right)$$ where $A$ is a constant.

(a)

Find the particular solution $y(x,t)$ to the wave equation for the string consistent with the above initial conditions.

(b)

Does the solution found in (a) represent a traveling wave, a standing wave, or neither? Explain. If a traveling wave, in what direction is it moving?