ball bounce in matlab

To create a ball bouncing animation in matlab, we need to use simple physics principles to model the behavior of a bouncing ball.

Here's an example code snippet that will produce a simple ball bouncing animation using the plot and line functions in matlab:

main.m
% Parameters
g = 9.81; % acceleration due to gravity (m/s^2)
h0 = 10; % initial height of ball (m)
d = 0.8; % coefficient of restitution (bounce efficiency)
tmax = 10; % total simulation time (s)
dt = 0.01; % time step (s)

% Initial conditions
t = 0; % current time
v = 0; % current velocity
h = h0; % current height

% Create figure
figure;
axis([0 100 0 h0+1]);
hold on;

% Main simulation loop
while t < tmax
    % Update velocity
    v = v - g*dt;
    % Update height
    h = h + v*dt;
    % Check for bounce
    if h <= 0
        v = -d*v;
        h = 0;
    end
    % Update time
    t = t + dt;
    % Update plot
    plot(50, h+1, 'o', 'MarkerFaceColor', 'r', 'MarkerEdgeColor', 'none', 'MarkerSize', 20);
    drawnow;
    pause(dt);
end
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This code simulates a ball bouncing with an initial height of h0, a coefficient of restitution of d, and a total simulation time of tmax. The loop iterates over time steps of dt, updating the velocity and height of the ball according to simple physics equations. If the ball hits the ground (i.e., its height h falls below zero), the velocity is reversed with a reduction of d (the coefficient of restitution), simulating a bounce.

The resulting animation is displayed in a matlab figure window using the plot and line functions to draw a circle representing the ball at each time step. The drawnow function is used to update the figure window, and the pause function is used to introduce a short delay between time steps to control the animation speed.

Feel free to tweak the parameter values and experiment with different bounce behaviors!