How to use nested FOR loop to create a matrix of answers?

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Jan
Jan le 15 Nov 2022
Commenté : Jan le 24 Nov 2022
Hello, I'm relatively new to MATLAB and I'm struggling on producing a matrix with a size of 30x6 using nested FOR loops.
I want 30 different values for the variable 'theta' between 0-90 and 6 different values for the variable 'Vs' between 0-60, put it through the equations and return the answers as a 30 by 6 matrix. I've tried having theta = (3:3:90)' and Vs = 10:10:60 but that's as far as my knowledge goes. I'm not entirely sure where to put the for loops in this code either.
Thanks in advance, I appreciate any kind of help.
% INPUT DATA
% Specified constants:
k = 0.02;
g = 9.81;
dt = 0.01;
% Input the initial condition:
theta = 55; % Launch angle in degrees.
rads = theta*(pi/180); % Converts degrees to radians.
Vs = 10; % Launch speed m/s.
u(1) = Vs*cos(rads);
v(1) = Vs*sin(rads);
% Launch pad location:
x(1) = 0;
y(1) = 0;
% Compute approximate solution of the trajecotry of flight.
% Repeat up to 2000 time, i.e., until ball hits the ground.
for n = 1:1:2000
u(n+1) = u(n)- dt * (k * sqrt(u(n)^2+v(n)^2) * u(n));
v(n+1) = v(n)- dt * (k * sqrt(u(n)^2+v(n)^2) * v(n) + g);
x(n+1) = x(n) + u(n) * dt;
y(n+1) = y(n) + v(n) * dt;
% Determination of when the object hits ground:
if y(n+1) < 0
slope = (y(n+1) - y(n))/(x(n+1) - x(n));
b = y(n) - slope * x(n);
xhit = - b/slope;
plot(x,y)
fprintf(' The length of the shot = %5.2f \n', xhit)
end
% Once object hits terminate the computations with a break:
if y(n+1) < 0
break;
end
end
The length of the shot = 8.27

Réponse acceptée

Jan
Jan le 15 Nov 2022
Modifié(e) : Jan le 15 Nov 2022
thetaL = 3:3:90;
VsL = 10:10:60;
... Other constants
Result = NaN(numel(thetaL), numel(VsL));
for itheta = 1:numel(thetaL)
theta = thetaL(itheta);
rads = theta*(pi/180); % Converts degrees to radians.
for iVs = 1:numel(VsL)
Vs = VsL(iVs);
... Your code:
u(1) = Vs*cos(rads);
v(1) = Vs*sin(rads);
...
Result(itheta, iVs) = xhit;
end
end
  4 commentaires
Julian
Julian le 24 Nov 2022
what is the purpose of NaN in this?
Jan
Jan le 24 Nov 2022
Only to fill the output with values initially, which can be recognized. Maybe your code does not find a solution for some inputs.

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