A standard science experiment is to drop a ball and see how high it bounces. Once the "bounciness" of the ball has been determined, the ratio gives a bounciness index. For example, if a ball dropped from a height of 10 feet bounces 6 feet high, the index is 0.6 and the total distance traveled by the ball is 16 feet after one bounce. If the ball were to continue bouncing, the distance after two bounces would be 10 ft + 6 ft + 6 ft + 3.6 ft = 25.6 ft. Note that distance traveled for each successive bounce is the distance to the floor plus 0.6 of the distance as the ball comes back up. Write a C/C++ program that lets the user enter the initial height of the ball and the number of times the ball is allowed to continue bouncing. Output should be the total distance traveled by the ball. At some point in this process, the distance traveled by the ball becomes negligible. Use the constant section to define a "negligible" distance (for example, 0.00001 inches). Terminate the computing when the distance becomes negligible. When this stage is reached, include the number of bounces as part of the output. Use of functions in this program is not necessary, however if you can develop an appropriate function it will improve the readability of your program. Submit outputs with: 1. a drop from 25 feet and let it bounce 5 times - output the distance traveled by the ball 2. a drop from 5 feet and let it bounce 100 times - output the distance traveled and the number of bounces that will bring the ball to a rest.
## Deliverables
1) Complete and fully-functional working program(s) in executable form as well as complete source code of all work done. 2) Complete ownership and distribution copyrights to all work purchased.
## Platform
Windows XP, MS Visual C++