elastic collision in matlab

main.m
% Define initial conditions
m1 = 1; % mass of object 1
m2 = 2; % mass of object 2
v1_initial = 10; % initial velocity of object 1
v2_initial = -5; % initial velocity of object 2

% Calculate final velocities using conservation of momentum and kinetic energy
v1_final = ((m1 - m2) * v1_initial + 2 * m2 * v2_initial) / (m1 + m2);
v2_final = (2 * m1 * v1_initial + (m2 - m1) * v2_initial) / (m1 + m2);

% Update positions and velocities
x1 = 0; % initial position of object 1
x2 = 10; % initial position of object 2
dt = 0.01; % time step
t_end = 1; % end time

for t = 0:dt:t_end
    % Update positions
    x1 = x1 + v1_final * dt;
    x2 = x2 + v2_final * dt;

    % Update velocities (not necessary for elastic collision, but shown for completeness)
    v1_initial = v1_final;
    v2_initial = v2_final;
    
    % Calculate new final velocities for next iteration (not necessary for elastic collision)
    v1_final = ((m1 - m2) * v1_initial + 2 * m2 * v2_initial) / (m1 + m2);
    v2_final = (2 * m1 * v1_initial + (m2 - m1) * v2_initial) / (m1 + m2);
end

% Plot the positions
figure;
hold on;
plot(0, 0, 'ro'); % initial position of object 1
plot(10, 0, 'bo'); % initial position of object 2
plot(x1, 0, 'r.'); % final position of object 1
plot(x2, 0, 'b.'); % final position of object 2
hold off;
xlabel('Position');
ylabel('Time');
legend('Object 1 (initial)', 'Object 2 (initial)', 'Object 1 (final)', 'Object 2 (final)');
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