calculus solve all in order one whole question

Question 3. For this question you will need a ball that bounces (e.g. a tennis ball, a table tennis ball, a bouncy ball, a basketball). You will discover how much total vertical distance the ball travels between dropping it from eye level, and when it eventually stops bouncing. Please be kind to the TA and indicate your parts clearly. (1) We will model this problem and solve it mathematically, but first, experiment by bouncing your ball. Make a guess as to how far it travels in total after all of its bounces. (2) Experimentally, measure the number of bounces, and the height b, of the ball after n bounces. What does bo represent? (3) After dropping your ball at height h, it bounces up to a smaller height p.A, where 0