// FILE: FreeFall.cpp
// DISPLAY HEIGHT OF A DROPPED OBJECT AT EQUAL INTERVALS
// Displays the height of an object dropped from a tower
//    at user specified intervals, until it hits the ground.

#include <iostream.h>
#include <iomanip.h>
#include <math.h>

// Function prototypes ...
   // GENERATE TABLE
   void generate_table
     (double, 		// INPUT: height of tower from which object dropped
      double);		// INPUT: time interval

int main ()
{
   // Local data ...
   double tower_height;	// height of tower (meters)
   double delta_t;			// time interval

   // Enter tower height and time interval.
   cout << "Enter tower height in meters: ";
   cin >> tower_height;
   cout << "Enter time in seconds between table lines: ";
   cin >> delta_t;
   cout << endl;

   // Display object height until it hits the ground.
   generate_table (tower_height, delta_t);

  return 0; 
}


// GENERATE TABLE
void generate_table
  (double tower_height,	// INPUT: height of tower from which object dropped
   double delta_t)			// INPUT: time interval
{
   // Local data ...
   const double g = 9.80655;	// gravitational pull in meters per second squared

   double object_height;	// height of object at any time t
   double t;				// total elapsed time

   // Display table header.
   cout << setw (10) << "Time" << setw (9) << "Height" << endl;
   t = 0.0;
   object_height = tower_height;

   // Display table.
   cout.precision (2);
   cout.setf (ios::fixed);
   while (object_height > 0.0)
   {
      cout << setw(10) << t << setw(9)
       	  << object_height << endl;
      t += delta_t;
      object_height = tower_height - 0.5 * g * pow (t, 2);
   }  // end while

   // Object hits the ground.
   cout << endl;
   cout << "SPLAT!!!" << endl << endl;
}