In a laboratory experiment, a ball of mass \(m\) travels horizontally at speed \(v_0\) toward a vertical wall and rebounds directly backward at speed \(v_0\) during a collision of duration \(\Delta t_0\). In a second trial, the same ball travels toward the wall at speed \(v_0\) and rebounds directly backward at speed \(2v_0\) during a collision of duration \(\dfrac{\Delta t_0}{2}\). The average horizontal force exerted on the ball by the wall in the second trial is observed to be exactly 3 times the average horizontal force in the first trial. Which of the following provides the correct physical explanation for this observation?