How can I calculate the acceleration of an object on a slope?
Sure. Acceleration can be broken into components like forces using trig. Break the force of gravity (or any other driving force) in to “normal force” (force directed at right angle to the slope) and parallel force (force parallel to the slope) Then apply the normal force if you want to consider friction Then apply moment of inertia formulas to the rotational acceleration of the rolling ball http://en.wikipedia.