For loops for 2 variables. (Trajectory)

When I write this code, the result is:

Angle(d) V(m/s) Height(m) Range(m)

10.00 9.90 0.15 11.71

20.00 9.90 0.58 13.15

30.00 9.90 1.25 14.01

40.00 9.90 2.07 14.03

50.00 9.90 2.93 13.02

60.00 9.90 3.75 10.94

70.00 9.90 4.42 7.91

80.00 9.90 4.85 4.15

90.00 9.90 5.00 0.00

I'd like the velocity (V(m/s)) to not be constant, but to appear the same way the angle variable appears.

Please let me know if there is anything wrong wiht my code.

%{ 
Possible height and range, assuming that angle of projection 
and vertical position are constant. 
%} 
%g)
%Both initial velocity and and angles are independent variables
g = -9.8;
xi = 0;
yi = 5; 
vMAX = sqrt(-yi.*g*2);
fprintf('Angle(d)\t V(m/s)\t height(m)\t Range(m)\n');

for theta2=10:10:90 %Nested for loops to compute each individual value for the plot
    for vi =linspace(0,vMAX,10);
        
      % Velocity components from the first problem
      vix = vi.*cosd(theta2);
      viy = vi.*sind(theta2);

      %Total time from first problem
      a = (1/2)*g;
      b = viy;
      c = yi;
      tFinal2 = roots([a, b, c]);
      tFinal2 = max(tFinal2);
      t = (linspace(0, tFinal2, 10))';
    
      %Compute x and y values(copied from problem 1)
      x2 = xi+vix.*t; 
      y2 = yi+viy.*t+(1/2)*g.*t.^2; 
      %Range of trajectory
       R = Range2(xi,vix,tFinal2);
       %Max Height
       yMAX = MaxHeight2(viy);
    end
    fprintf("%.2f \t\t %.2f\t\t %.2f\t\t %.2f\n",theta2,vi,yMAX,R)
      %Plot
      subplot(3,2,4)
      plot(x2, y2,'LineWidth',1.5);
      hold on
      grid on;
      xlabel('X');
      ylabel('Y');
      title ('Projectile with varying angle & initial velocity (h)')
      axis equal;
      %Create boundaries in the first quadrant
       y2(y2 < 0) = 0;
end 

%{ 
yMAX function
function yMAX = MaxHeight2(viy)
    yMAX = (viy.^2)/(9.8*2);  
end 
%Range function
function R = Range2(xi,vix,tFinal)
    R = xi+vix*tFinal; 
end 
%}

[darova]

You want 10 velocities for each angle (9*10 curves)?

[Ahmed M'sallem]

no i would like the first angle to go with first velocity, and the second angle to go with the second velocity and so on.

Answer 1

[darova]

Piece of a code

n = 10;
theta2 = linspace(10,90,n);
vi = linspace(0,vMAX,n);
for i = 1:n       
      % Velocity components from the first problem
      vix = vi(i).*cosd(theta2(i));
      viy = vi(i).*sind(theta2(i));
%% ...
    fprintf("%.2f \t\t %.2f\t\t %.2f\t\t %.2f\n",theta2(i),vi(i),yMAX,R)
% Plot ...      
end 

Answer 2

[RICARDO DE BRAGANCA]

Your "vi" variable is varying for each value of "theta2" but your "fprintf" is outside the loop on "vi" so it prints only the last value of "vi" for each "theta2" (MATLAB prints 9.90).

Swap the "fprintf" code line with the "end" code line above it. You will see all values of "vi" for each value of "theta2".

Besides, when asking a question, please post the code of all used function, so your code can be reproduced.

Best regards,

Ricardo de Braganca

[Ahmed M'sallem]

yet in that case, it shows this.

Angle(d) V(m/s) height(m) Range(m)

10.00 0.00 0.00 0.00

10.00 1.10 0.00 1.12

10.00 2.20 0.01 2.27

10.00 3.30 0.02 3.48

10.00 4.40 0.03 4.73

10.00 5.50 0.05 6.02

10.00 6.60 0.07 7.37

10.00 7.70 0.09 8.76

10.00 8.80 0.12 10.21

10.00 9.90 0.15 11.71

and it repeats for each angle, which is not what I want. I'd like each value of each variable to appear on their respective row. (1st velocity first row, 2nd velocity second row, same goes for angle).