I am trying to create a plot for certain values. I am having troubles defining m

Question

I am trying to create a plot for certain values. I am having troubles defining my range as well as creating the correct plot. I am trying to create a for loop that goes through the loop with values theta 0 through 15. There is a value v_perp defined in the loop, and I want the plot to be of theta on the x axis and v_perp on the y. I only want it to plot values if v_perp is <= 0.4*v_tot. What I have so far is below:

THIS IS FOR MATLAB PROGRAM

v_min = 16.5;

v_avg = 18;

v_max = 19.5;

x_r = 21.45;

y_r = 1.265;

for theta = 0:15

Explanation / Answer

Below mentioned code i made some changes those are mentioned in the note.

v_min = 16.5;
v_avg = 18;
v_max = 19.5;
x_r = 21.45;
y_r = 1.265;
for theta = 0:15
   A = -9.81/2;
   B = (v_min*sind(30))+(v_min*cosd(30)*tand(theta));
   C = 1.265+21.45*(tand(theta));
   y = [A B C];
   t = roots(y);
   t_firstvalue= t(1);
   v_perp(theta+1) = (-sind(-theta)*(16.5*cosd(30)))+(cosd(-theta)*((-9.81*t_firstvalue)+(16.5*cosd(30))));
   v_tot = sqrt((16.5*cosd(30)).^2+(((-9.81*t_firstvalue)+(16.5*cosd(30)))).^2);
   % Store whether this point is to be plotted.
   if v_perp(theta+1) > v_tot
       point(theta+1) = true;
   else
       point(theta+1) = false;
   end
end
v_perp(~point) = nan;
theta = 0:15
plot(theta,v_perp, 'r-.', 'MarkerSize', 15)

Note:

i) the t contains two values, i took on value i.e., t_firstvalue

ii) i am using if condition for the point is plotted or not.

please observe the changes.

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