From point P, a red billiard ball is shot along the indicated path. Here, d is the distance of the ball from the upper boundary of the billiard table.

(a) Play the animation. Describe, how the distance of the ball from the upper boundary of the billiard table changes with time![br][br](b) Click on the check box "distance d" and play the animation. Compare your results of task (a) to the displayed numerical value of the distance d. Discuss your observations and record your results![br][br](c) How would a corresponding graph in the coordinate system look like? Reason your decision![br][br](d) Click on the check box "graphical representation" in the right graphics window and play the animation. What is displayed in the coordinate system? When has the distance its greatest value, when its smallest? Compare the graphical representation with your own conjecture (task (c))!