You will have to create an animation of a square according to the directions bel

Question

You will have to create an animation of a square according to the directions below. Create a square with a side length of 4 centered on the origin. Translate this square along the parabola y=(1/4)*x^2 on the interval [0, 20]. Use the variables t and trajectory for your independent ( x ) and dependent ( y ) values, respectively. ( Hint: the first location of the square is (0,0) and the final point is (20, 100). ) Your square should scale linearly from 100% to 25% of its original size. ( Hint: in the first frame, your square will have sides of 4, and in the final frame, your square will have sides of 1. ) Your animation should have 500 frames. Use the variable square to represent the x and y coordinates of the square. The x coordinates and y coordinates should be represented in the first and second rows of square , respectively.

Explanation / Answer

% do not modify the function line below
function v = problem1

% coordinates of square under one variable
square = [-2 -2 2 2;-2 2 2 -2 ];

% generate animation window
figure
xmin = -5;
xmax = 25;
ymin = -5;
ymax = 125;
axis equal
axis([xmin xmax ymin ymax])
hold on

%setting your trajectory
t =linspace(0,20,500) ; % independent variable of your function
trajectory = 1/4*t.^2; % represents y in y = t^2

% all fill/drawing steps should occur in for loop
    for i = 1:500
         % fill in the appropriate inputs for fill
         n=linspace(1,0.25,500);
         h = fill(square(1,:)*n(i)+t(i),square(2,:)*n(i)+trajectory(i) ,'r');
         % do not change below 2 lines, should follow your fill command
         v.x(i,:)=get(h,'xdata')';
         v.y(i,:)=get(h,'ydata')';
         % add anything below
    end
    
end

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