A solid sphere rolls up an inclined plane of inclination angle 38 degrees. At the bottom of the incline, the center of mass of the sphere has a translational speed of 15 ft/s. How far (in feet) does the sphere roll up the plane (distance along the plane)?

The principle that can unite a rolling object's rotational and translational kinetic energy into one expression of total KE is called the Parallel Axis Theorem.

I _{P} = I_{CM} + Mh^{2}

where

I _{P} represents the object's moment of inertia from any location, P

I _{CM} represents the object's moment of inertia about its center of mass

h represents the perpendicular distance from P to the center of mass