We wrap a light, non$-$stretching cable around a solid cylinder of mass $50$ kg and diameter $0\mathrm{.}120$ m$,$ which rotates in frictionless bearings about a stationary horizontal axis. We pull the free end of the cable with a constant $9\mathrm{.}0$ N force for a distance of $2\mathrm{.}0$ m; it turns the cylinder as it unwinds without slipping. The cylinder is initially at rest. Find angular speed and the final speed of the cable. What is the cable$$s acceleration?