1.Main question: Why would anyone need to know the total VERTICAL distance traveled by a bouncing ball?

2.Other question: Does anyone have a link to an explanation (or could explain themselves) on how to calculate the total HORIZONTAL distance traveled by a bouncing ball?

3. The attempt at a solution

For the second question, I have filmed and analysed (plotted the points) of a few trajectories, so I have the values, I just need to explain why i got those values and I don’t know how..