animate a ball bouncing in matlab

To animate a ball bouncing in Matlab, we can use the following steps:

  1. Define the parameters of the ball, such as its radius, initial position, and initial velocity.
  2. Set up the plot by specifying the axes, setting the limits of the x and y axes, and plotting the initial position of the ball.
  3. Define the physics of the ball, such as how it bounces off the ground and slows down due to air resistance.
  4. Use a loop to update the position and velocity of the ball at each time step and plot the new position of the ball.
  5. Add a pause command to slow down the animation so that it is visible.

Here's an example of how to implement this in Matlab:

main.m
% Define ball parameters
r = 0.1; % radius
x0 = 0; % initial x position
y0 = 0; % initial y position
vx0 = 1; % initial x velocity
vy0 = 5; % initial y velocity
g = 9.81; % acceleration due to gravity
e = 0.8; % coefficient of restitution
dt = 0.01; % time step

% Set up plot
figure;
axis([-1 1 -1 1]);
hold on;
ball = viscircles([x0 y0], r);
drawnow;

% Simulate ball bouncing
x = x0;
y = y0;
vx = vx0;
vy = vy0;
while y >= -r % while ball is above ground
    % Update position and velocity
    x = x + vx*dt;
    y = y + vy*dt;
    vy = vy - g*dt;
    
    % Check for ground collision
    if y < -r
        y = -r;
        vy = -e*vy;
    end
    
    % Update plot
    ball.setCenter([x y]);
    drawnow;
    pause(0.01);
end
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