My question is the following. A ball is initially skidding and eventually starts rolling on a flat plane with friction, and later comes to a halt. Which direction does friction act? (see diagram) If friction acts to the right, then the translational speed will go up, and that's not right. If friction acts to the left, then the angular speed goes up, and that's not right as well. Am I missing something? It seems too simple and I feel like a fool to have to ask this.