A uniform wheel is mounted on a fixed horizontal axle and rotates in the counterclockwise direction with an initial angular speed \(\omega_0\). At time \(t = 0\), a mechanical friction brake is engaged, exerting a constant opposing frictional torque on the rim until the wheel comes to rest at time \(t_s\), after which the wheel remains stationary. Which of the following best describes the qualitative shape of the graph of the wheel's angular displacement \(\Delta\theta\) from its initial orientation as a function of time \(t\) for \(t \ge 0\)?