A test track for automobiles has a portion with a specific profile described by: y = h[1 - sin(x/w)], where h=0.5 ft and w = 8ft, and where the argument of the sine function is under- stood to be in radians. A car travels in the positive x direction such that the horizontal component of velocity remains constant and equal to 55 mph. Modeling the car as a point moving along the given profile, determine the maximum speed of the car. Express your answer in ft/s. Figure P2.30-P2.32