moish01- The soda with the same name as me is Dr Pepper (not Dr. since it’s not a real doctor), I hope this removes any confusion.
teen- The problem says “What is the total vertical distance the ball will eventually travel?” not “What is the total vertical distance traveled by the ball when it comes to a complete stop?”. The ball will never come to a complete stop but the vertical distance travelled will eventually reach a limit as the amount of time elapsed approaches infinity, what is this limit?
The answer is 56 feet.
I can only try- 24 feet is the upward distance, multiply that by two for the distance it travelled down each time it bounced up plus the original 8 foot drop gives the correct answer of 56 feet.