Question

C++ please A typical problem encountered in the study of dynamics is the trajectory problem. In the situation illustrated below, a projectile is fired from the edge of a cliff with an initial velocity, V_o , and a firing angle, A. The cliff has a height, h. It is desired to:

          1.       determine the distance, x_t, to the target

          2.       determine the highest elevation reached, y_max

          3.       determine the time to reach the target, t_t

          4.       generate a table of (x,y) points to use in plotting the trajectory

Background:

If       V_o = initial velocity

and    A = firing angle (in degrees), then

          V_xo = initial horizontal velocity = V_ocos(A)

          V_yo = initial vertical velocity = V_osin(A)

If g = ‑9.81 m/s² = acceleration due to gravity, then solving for t in the quadratic equation (the positive root)

                                     ‑h = V_yot + 0.5gt²

will give the time to reach the target, t_t (i.e., t = t_t ). Using this value of t_t , the distance to the target is

          x_t = V_xot_t

and the maximum height reached is

  

                                                                            Page 2

In order to generate a table of N (x, y) values, the final distance, x_t , can be divided into N-1 even increments as shown below:

For example, if N = 21: x = 0.00, 0.05x_t , 0.10x_t , 0.15x_t , . . . 0.95x_t , x_t

Using the x values above, the corresponding values of t and y can be found using

  

Program Requirements:

1.      The user of the program should be prompted to input four values from the keyboard. Also apply the restrictions indicated and allow the user to re-enter bad inputs):

• Cliff height, h, in m                      h > 0
• Initial velocity,V_o, in m/s             V_o > 0
• Angle, A, in degrees                    90^° > A > 0
• Number of point, N.                    100 > N > 5

2.      Use functions for at least the following:

         a) to convert an angle from degrees to radians

         b) to find the two real roots of the quadratic equation when given the coefficients. The function might be called as:      RealRoots(A,B,C,Root1,Root2);

3.      Use arrays to store the values of t, x, and y. The arrays should be dimensioned for a max value of 100 points. The actual number of points, N, will be specified by the user.

4.      Give the user the option of:

         A) Displaying a table of values on the computer screen

         B) Sending the values to a data file so that they can be graphed using Excel

         If option A is selected, the output to the screen should include a brief program description, the input values, and calculated values for x_t, y_max , and t_t , and a table of (t,x,y) values. All outputs should be formatted and include units. The table might look as follows (lines are not required, but could be added for extra credit):

              time, t (s)      | distance, x (m)    |    height, y (m)

          ----------------------------------------------------------------------

                  0.000       |                 0.0         |                0.0

                  1.134       |           283.6         |              91.7

                      .             |                   .           |                  .

                      .             |                   .           |                  .

                  22.673       |           5672.6         |           -150.0

         If option B is selected, only the values of t, x, and y should be sent to the data file. Put commas between each value so that the file can be opened in Excel as a “commas delimited file”. Also prompt the user to enter the name of the output data file. The data file might look as follows:

0,0,0 1.134,283.6,91.7 . . . 22.673,5672.7,-150.0

Example 1:

          You can test your program with the following data:

          Inputs:

                   V_o = 180 m/s

                   h = 150 m

                   A = 30^o

                   N = 21 points

          Outputs:

                   t_t = 19.9 s

                   x_t = 3100.0 m

                   y_max = 562.8 m

                   (The values of t, x, y are not shown for this example).

My main issue is getting the values into array solving for time distance and height isnt the issue, C++ please

Answer 1

#include<iostream>
#include<string>
#include<cmath>
#include <iostream>
#include <fstream>
using namespace std;
#define pi 3.14159
double Xarr[100],Yarr[100],Tarr[100];
double DegreeRad(double temp)
{
   return temp*pi/180;
}
double RealRoots(double a,double b,double c)
{
   float x1, x2, discriminant;
discriminant = b*b - 4*a*c;
  
if (discriminant > 0) {
x1 = (-b + sqrt(discriminant)) / (2*a);
x2 = (-b - sqrt(discriminant)) / (2*a);
       if(x1>0)
           return x1;
       else if(x2>0)
           return x2;
       else
           cout<<"roots are negative. Please enter iputs again"<<endl;  
}
  
else if (discriminant == 0) {
cout << "Roots are real and same." << endl;
x1 = (-b + sqrt(discriminant)) / (2*a);
if(x1>0)
           return x1;
       else
           cout<<"roots are negative. Please enter iputs again"<<endl;
          
}

else {
cout<<"no real roots. Please enter iputs again"<<endl;
}
   return -1;
}
void TabularDisplay(int N)
{
cout<<"tablular display"<<endl;
cout<<"time,t(sec) disatnce,x(m) height,y(m)" <<endl;
for(int i=0;i<N;i++)
cout<<Tarr[i]<<" "<<Xarr[i]<<" "<<Yarr[i]<<endl;
}
void FileOutput(int N)
{
   cout<<"enter file name"<<endl;
   string str;
   cin>>str;
   ofstream myfile ("\""+str+"\"");
   if (myfile.is_open())
{
for(int i=0;i<N;i++)
{
myfile << Tarr[i] ;
myfile << ",";
myfile <<Xarr[i];
myfile <<",";
myfile <<Yarr[i];
myfile <<"\n";
}
myfile.close();
}
else cout << "Unable to open file";
  
}

int main()
{
   double v;
   double h;
   double A;
   double N;
   cout<<"enter velocity, height, Angle and Number of points"<<endl;
   cin>>v>>h>>A>>N;
   double Arad=DegreeRad(A);
   double vh=v*cos(Arad);
   double vv=v*sin(Arad);
   double g=-9.81;
   double tt=RealRoots(0.5*-9.81,vv,h);
   if(tt==-1)
       cout<<"couldn't find real time.enter input again";
   double xt=vh*tt;
   double T=-1*vv/g;
double ht=h+(vv*T)+(0.5*g*T*T);
cout<<"tt="<<tt<<endl<<"xt="<<xt<<endl<<"ht="<<ht<<endl;
   for(int i=0;i<N;i++)
   {
   Xarr[i]=(i/(N-1))*xt;
       Tarr[i]=Xarr[i]/vh;
       Yarr[i]=h+(vv*Tarr[i])+(0.5*g*Tarr[i]*Tarr[i]);
   }  
char choice;
cout<<"enter 'a' for tabular display and 'b' for file output"<<endl;
cin>>choice;
switch(choice)
   {
case 'a': TabularDisplay(N);
               break;
   case 'b': FileOutput(N);
   break;
   }
      
}

θ θ https://bdpsparki e computer Science 1 DuckDucko-rx https://bdpsparki Χ × x C++ Program to 2Dimensional Tu/X -Input/Output with KC https//www.hackerearth.com/practice/algorithms/dynamic-programming/2-dimensional/tutorial ☆刍岱 . Input Your Code's Output enter velocity, height, Angle and Number of points xt-3099.98 ht-562.843 enter 'a for tabular display andb' for file output tablular display time,t(sec) disatnce,x(m) height,y(m) 2014.99 2169.99 52-353 2789.98 Compilation Log Compiled successfully 6041 PM 5/13/2019 Type here to search