How to plot by using result data?

Dear Sir or Madam,

I am new to matlab programming I would like to know how to plot position_x , position_y , velocity x , velocity y by applying result data. Please show me how to perform the plot as I would like to see them.

Hopefully and Thank you very much for your help.

n_part=10;
kn=5;
kt=2/7*kn;
m=0.3;
g=9.81;
timestep=50;
v_init=0.5;

% initial of position, velocity, angular velocity
position_x(:,1:n_part)=rand(size(1:n_part));
position_y(:,1:n_part)=rand(size(1:n_part));
theta=2*pi*rand(size(position_x));
velocity_x=v_init*sin(theta);
velocity_y=v_init*cos(theta);
w_x=zeros(size(position_x));
w_y=zeros(size(position_y));
w_half_x=zeros(size(velocity_x));
w_half_y=zeros(size(velocity_y));
w_x_dot=zeros(size(velocity_x));
w_y_dot=zeros(size(velocity_y));
v_half=rand(size(velocity_x));
v_half_x=rand(size(velocity_x));
v_half_y=rand(size(velocity_y));
dt=0.001;

rad(1:n_part)=0.5;
acc_x=zeros(size(position_x));
acc_y=zeros(size(position_y));
acc_i=[0,0];
acc_j=[0,0];
w_i=[0,0];
w_j=[0,0];
Fn=[0,0];Fn_x=[0,0];Fn_y=[0,0];
for t=1:1:4
    for i=1:n_part
        v_half_x(t+1,i)=velocity_x(t,i)+0.5*dt*acc_x(t,i);
        v_half_y(t+1,i)=velocity_y(t,i)+0.5*dt*acc_y(t,i);
        position_x(t+1,i)=position_x(t,i)+v_half_x(t+1,i)*dt;
        position_y(t+1,i)=position_y(t,i)+v_half_y(t+1,i)*dt;
        % update of w_ part
        w_half_x(t+1,i)=w_x(t,i)+dt*0.5*dt*w_x_dot(t,i);
        w_half_y(t+1,i)=w_y(t,i)+dt*0.5*dt*w_y_dot(t,i);
        
        j=1;
        for j=i+1
            if j<=n_part
            lx=position_x(i)-position_x(j);
            ly=position_y(i)-position_y(j);
            vx=velocity_x(i)-velocity_x(j);
            vy=velocity_y(i)-velocity_y(j);
            root_xy=sqrt(lx.^2+ly.^2);
            R_i=rad(i);
            R_j=rad(j);
            delta=(R_i+R_j)-root_xy;
            if delta>0
                N=[lx;ly];
                n_vector=N/norm(N);
        
                % relative vector to find tangent vector;
                vij1=[vx;vy];
                w_i=[w_x(i);w_y(i)];
                w_j=[w_x(j);w_y(j)];
                vij2=vij1+(R_i.*w_i+R_j.*w_j).*n_vector;
                v_i_j=-n_vector.*(n_vector.*vij2);
        
                % tangent vector
                tan=v_i_j/norm(v_i_j);
        
                Fn=kn.*delta;
                Ft=kt.*v_i_j;
                F_total=Fn.*n_vector+Ft.*tan+m*g;
                Fn_x=Fn_x-F_total(1,:);
                Fn_y=Fn_y+F_total(2,:);
                
                %Momemtum of particles
                M_i=R_i.*n_vector.*Ft;
                M_j=R_j.*n_vector.*Ft;
                % same radius for movement of inertia of circle
                I=pi*R_i/4;
                w_i=0;
                w_j=0;
                w_i=w_i+M_i'/I;
                w_j=w_i+M_j'/I;
                w_x_dot(t,i)=w_x_dot(t,i)+w_i(1);
                w_x_dot(t,i)=w_x_dot(t,i)+w_j(1);
                w_y_dot(t,i)=w_y_dot(t,i)+w_i(2);
                w_y_dot(t,i)=w_y_dot(t,i)+w_j(2);
                w_x_dot(t+1,:)=w_x_dot(t,:);
                w_y_dot(t+1,:)=w_y_dot(t,:);
                
                acc_i=0;
                acc_i=acc_i+Fn_x./m;
                acc_j=0;
                acc_j=acc_j+Fn_y./m;

                acc_x(t,i)=acc_x(t,i)+acc_i(1);
                acc_y(t,i)=acc_y(t,i)+acc_i(2);
                acc_x(t,j)=acc_x(t,j)+acc_j(1);
                acc_y(t,j)=acc_y(t,j)+acc_j(2);
                acc_x(t+1,:)=acc_x(t,:);
                acc_y(t+1,:)=acc_y(t,:);
            end
            end
        end
        
        velocity_x(t+1,i)=v_half_x(t+1,i)+0.5*dt*acc_x(t+1,i);
        velocity_y(t+1,i)=v_half_y(t+1,i)+0.5*dt*acc_y(t+1,i);
        w_x(t+1,i)=w_half_x(t+1,i)+0.5*dt*w_x_dot(t+1,i);
        w_y(t+1,i)=w_half_y(t+1,i)+0.5*dt*w_y_dot(t+1,i);
        


    end
end
% my intension is using rad, position_x, position_y to create circle as
% particles and using velocity_ x and velocity _y to move them. 
% position_x (t,i); position_y (t,i); velocity_x (t,i); velocity_y (t,i);
% rad=0.5;

Answer 1

[KSSV]

How about using quiver?

quiver(position_x,position_y,velocity_x,velocity_y)

[Thin Rupar Win]

Sir, This is not working.