Sphere P, having a radius of R, slides along a curved surface. At the position shown, the center of the sphere has a speed of u and an acceleration of a, as shown in the figure. At the position shown, the surface on which P slides has a radius of curvature of p. Find: At this position, determine the speed u and rate of change of speed v for the center of the sphere. P C a radius of sphere = R Use the following parameters in your work: R = 0.5 ft, p = 100 ft, |a| = 0.5g and 0 = 36.87.