Sphere rolling down an inclined plane

[aorrdalca]

I've seen a number of posts on the following question, but don't believe any contain a solution to the following very simple scenario:

A sphere of radius r and mass m rolls down a plane inclined at theta degrees. What are its linear and angular velocities at any time t thereafter, assuming it starts at rest?

Perhaps I've missed the answer elsewhere; if so, apologies.

 

[Gerenuk]

Here is a hint: write down the conservation of energy (potential energy + kinetic energy of center of mass + rotational energy around COM = const)
Then express angular velocity by linear velocity and you have an equation for linear velocity only!