(a) Write a MATLAB script RandomWalkC2D. The walker starts at the origin (xl,yl)

Question

(a) Write a MATLAB script RandomWalkC2D. The walker starts at the origin (xl,yl)-(0,0), and at each step takes a unit step (rstep-1) in a random direction. Choose the direction of each step by randomly picking an angle 0e[0,21] using rand. Then k+1 kt1kTstep sin(Ox) Calculate the complete motion first, then animate the motion with another loop through time. Plot the position of the origin with a "+" sign and the position of the walker with a circle. At each time step in the animation loop, plot a line representing the path of the walker's entire history up to the current time. We are interested in seeing motion over hundreds or even thousands of steps.

Explanation / Answer

MATLAB CODE:FOR A

x(1)=0;

y(1)=0;

r_step=1;

N=1000

for i=1:N

x(i+1)=x(i)+r_step*cos(2*pi*rand);

y(i+1)=y(i)+r_step*cos(2*pi*rand);

end

figure

for n=1:N

plot(x(1:n),y(1:n))

hold on

plot(x(n),y(n),'ro');

axis equal;

axis([0,max(x),0,max(y)+10]);

hold off

xlabel('x (ft)');

ylabel('y (ft)');

title('Projectile Trajectory');

M(n)=getframe;

end

% play as smooth movie 3 times at 10 frames per second

% note that it goes through the frames 2x initially to get ready for

% full speed play. So it will actually play 2x slower and 3x at full speed.

numtimes=3;

fps=1;

movie(M,numtimes,fps)

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