A solid sphere rolls without slipping or sliding along a horizontal surface toward an incline. If the sphere's speed is 4.12 m/s at the base of the incline and the angle of inclination is 30 degrees.
A.) Calculate the kinetic energy of sphere as it rolls along the horizontal surface.
B.) Calculate the maximum vertical height of the sphere above the horizontal sphere when it reaches its maximum point on the incline.
C.) Calculate how far along the incline the sphere traveled before coming to a stop.