Q. A bicycle has wheels with a diameter (DIAMETER, not radius) of 0.680 m. It accelerates uniformly and the rate of rotation of its wheels increases from 175 rpm to 295 rpm in a time of 16.5 s. Find the linear acceleration of the bicycle.

Q. A ball rolling along at speed v without slipping on a horizontal surface when it comes to a hill that rises at a constant angle above the horizontal. In which case will it go higher up the hill: if the hill has enough friction to prevent slipping or if the hill is perfectly smooth? Justify your answers in both cases in terms of energy conservation and in terms of Newton's second law.