how to make an object fall in matlab in matlab

Here's an example code to simulate the free fall of an object with mass m and initial height h in a vacuum:

main.m
m = 0.1; % mass in kg
h = 10; % initial height in meters
g = 9.81; % acceleration due to gravity in m/s^2

t = sqrt(2*h/g); % time taken to fall from initial height
v = g*t; % final velocity just before impact
tspan = linspace(0, t, 100); % time array for simulation

[t, y] = ode45(@(t,y) [y(2); -g], tspan, [h; 0]); % solve differential equation
% y(1) is height, y(2) is velocity

plot(t, y(:,1))
xlabel('Time (s)')
ylabel('Height (m)')
title('Object falling in vacuum')
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This code uses the ode45 function to solve the differential equation y'' = -g (where y is the position of the object). The initial conditions are y(0) = h and y'(0) = 0. The solution gives the position of the object as a function of time, which is plotted using plot.

Note that this simulation assumes that there is no air resistance, so it only works for objects falling in a vacuum. If you want to simulate falling with air resistance, you'll need to modify the differential equation to include a drag force term.