A 4 kg ball is dropped on to a cushion pad from the position shown in the figure with initial velocity equal to zero. Once the ball touches the cushion, the cushion exerts a resisting force of f = 200-2/((s+0.1)^2) to the ball, with units of Newtons, where s is the instantaneous distance the cushion is compressed from its original position in meters, as shown in the figure. Determine the position of the ball when its velocity first becomes zero after hitting the cushion, knowing the speed right before contact with the pad is 6.26 m/s.

A 4 kg ball is dropped on to a cushion pad from the position shown in the figure with initial velocity equal to zero. Once the ball touches the cushion, the cushion exerts a resisting force of f = 200-2/((s+0.1)^2) to the ball, with units of Newtons, where s is the instantaneous distance the cushion is compressed from its original position in meters, as shown in the figure. Determine the position of the ball when its velocity first becomes zero after hitting the cushion, knowing the speed right before contact with the pad is 6.26 m/s.

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