(Physics) When a particular rubber ball is dropped from a given height (in meters), its im...

(Physics) When a particular rubber ball is dropped from a given height (in meters), its impact speed (in meters/second) when it hits the ground is given by this formula:

where g is the acceleration caused by gravity and h is the height. The ball then rebounds to 2/3 the height from which it last fell. Using this information, write, test, and run a C++ program that calculates and displays the impact speed of the first three bounces and the rebound height of each bounce. Test your program by using an initial height of 2.0 meters. Run the program twice, and compare the results for dropping the ball on Earth (g = 9.81 m/s2) and on the moon (g = 1.67 m/s2).