THIS IS A MATLAB PROBLEM Suppose you are walking randomly in two dimensions. At

Question

THIS IS A MATLAB PROBLEM

Suppose you are walking randomly in two dimensions. At each time step, you may randomly change your position along the x-axis to the right (plus one) and left (minus one), or nor moving. Similarly, you can randomly change your position on y-axis the same as on the x-axis. (up or down or not moving).

a). program an iterative loop to stimulate the two-dimensional moving start at origion(x=0,y=0). cout how many steps N are needed to cross the boundary of a circle centered at origin with radius of 15, r = 15.

b). plot the trace of the moving to the boundary in one color and overlay the circle boundary in another color.

Explanation / Answer

r = [-1,0,1] ;
x=0 ;
y=0 ;
n=0 ;
c=0 ;
rv=15;

a = linspace(0,2*pi,360);
x1 = 15 * cos(a) ;
y1 = 15 * sin(a) ;
plot(x1,y1,'r');
axis('equal');

while c==0

posx = randi(length(r));
movx = r(posx);
x= x+movx;

posy = randi(length(r));
movy = r(posy);
y= y+movy;

co = [0,0;x,y];
d = sqrt((x-0)^2+(y-0)^2);
n = n+2;
plot(x,y,'b');

if (d >= rv)
c=1;
end
end
fprintf(' Number Of steps taken is %d ',n);

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