A rope is fixed at one end and is experiencing a transverse wave traveling to the left. This wave can be represented by the equation y(x,t) = 2.5 mm sin (πx+2πt+2π/3), where x is measured in meters and t is measured in seconds. The rope has a mass per unit length of 8.0 g/cm. Determine the maximum vertical speed of a small section of the rope.