Ball Rolls Down Incline

A round ball of mass $M = 1$ kg and radius $R = 10$ cm sits at the top of a 345 inclined plane as shown. The coefficient of static friction is high enough that the ball will roll without slipping. At time $t = 0$ the ball is released. Note that the moment of inertia of a ball is $\frac{2}{5}MR^2$.

a) Find the acceleration of the ball down the inclined plane.

b) Find the angular velocity with which it is spinning about its center of mass when it reaches the bottom of the plane.