/*
  Author: SJL
  As3
  Date: 2008-02-10
*/

#include <iostream> 
#include <cstdlib>
#include <cmath>

using namespace std;

const double EARTH_GRAVITY = 9.8;
const double MOON_GRAVITY  = 1.67;
const double MARS_GRAVITY  = 3.71;

void printOutput(string where, double h, double t, double d);
double hitDistance(double v, double a, double t);
double airTime(double v, double a, double g);
double getMaxHeight(double v, double g);
double degreesToRadians(double degrees);

int main(){

  cout << "Enter initial velocity" << endl;
  double v0;
  cin >> v0;
  cout << "Enter initial hit angle" << endl;
  double a0;
  cin >> a0;
  a0 = degreesToRadians(a0);

  double height, time, distance;

  height = getMaxHeight(v0, EARTH_GRAVITY);
  time   = airTime(v0, a0, EARTH_GRAVITY);
  distance = hitDistance(v0, a0, time);
  printOutput("On Earth", height, time, distance);
  
  height = getMaxHeight(v0, MARS_GRAVITY);
  time   = airTime(v0, a0, MARS_GRAVITY);
  distance = hitDistance(v0, a0, time);
  printOutput("On Mars", height, time, distance);


  height = getMaxHeight(v0, MOON_GRAVITY);
  time   = airTime(v0, a0, MOON_GRAVITY);
  distance = hitDistance(v0, a0, time);
  printOutput("On the Moon", height, time, distance);

  return 0;
}

double degreesToRadians(double degrees){

  return degrees * 0.0174532925;

}

double getMaxHeight(double v, double g){
  return (v * v)/(2 * g);
}

double airTime(double v, double a, double g){
  return (2.0 * v * sin(a))/(g/2.0);
}

double hitDistance(double v, double a, double t){

  return (v * cos(a) * t);

}


void printOutput(string where, double h, double t, double d){
  cout << where << endl;
  cout << "\t Max Height : " << h << endl;
  cout << "\t Travel time: " << t << endl;
  cout << "\t Distance   : " << d << endl;
  return;
}