/***********************************************************************
 CS177/477 C++ Programming
 Lab 4: The Bouncing Ball

 Your task is to model the bouncing of a rubber ball, in terms of the
 total distance traveled until it stops bouncing, the total elapsed time
 and the number of times the ball bounces.

 The main features of the ball you need to model are:
   1. the initial height from which it is dropped;
   2. the bounce ratio, which is the ratio of the height the ball
      bounces as a fraction of its previous height;
   3. the cutoff height below which it loses all its energy and stops
      bouncing.

 The aim is to encapsulate both the relevant features of the ball AND its
 behavior in a class description, leaving the public interface very
 simple. In fact below I am giving you the exact main function for
 your program, minus the code necessary to input the initial height,
 the ratio and the cutoff height (all in feet). You should leave this
 EXACTLY as it is, and just write the class, with its data members and
 methods bounce and display.

 Run the program several times to test it, and run it once more with
 these values:
   initial height = 10 ft.
   bounce ratio = 0.6
   cutoff height = 0.1 ft.
 Submit your program's results with the source code in the usual
 manner, to me (RTH) and mail your source code file to me also.

 Points to note:
 o use float variables for the ball's atttributes, except the number of
   bounces
 o use a constructor with parameters to create a ball with the correct
   initial attributes
 o use the math library function sqrt to calculate the time taken to
   drop from a height h:
       time = sqrt(h / HALFG)
   where HALFG is half of the acceleration due to gravity, which you
   may take as 16.1 ft./sec./sec. You need to use #include <math.h>
   to be able to use this function.
 o do not count the final drop as a bounce - only include the number
   of times the ball rises
 o write the method bounce to return either true or false (type bool)
   according to whether the ball bounces or not. e.g.
      bool bounce() {
        ...
        return true; // (or false)
      }
   see pg. 150 for details on the bool type
   

 Assigment due: September 24th., before 5pm.
 ***********************************************************************/

 ////////////////////////////////////////////////////////////////////////
 // The Bouncing Ball: (put short description here)                    //
 // Author: (put your name here)                                       //
 // Date: (put the date here)                                          //
 ////////////////////////////////////////////////////////////////////////

 #include <iostream>
 #include <math.h>
 using namespace std;

 class Ball {
   (put your model of the ball in here, with private data
    variables and public functions)
 };

 (put any external member function definitions here)

 int main() {
   float height, ratio, cutoff;
   (put your input of values for the variables here)

   Ball ball(height, ratio, cutoff);   // create a ball

   // make the ball bounce
   while (ball.bounce())
      cout << "the ball is bouncing..." << endl;

   // ask the ball to display its total distance traveled and time
   // taken
   ball.display();

   return 0;
 }