how to find displacement from acceleration and time using calculus in matlab

To find displacement from acceleration and time using calculus in Matlab, we need to integrate the acceleration with respect to time twice. Here is the code that demonstrates this:

main.m
% Input acceleration and time vectors
a = [1 2 3 4 5];         % acceleration vector
t = [0 1 2 3 4];         % time vector

% First integration for velocity
v = cumtrapz(t, a);      % integrate acceleration to get velocity

% Second integration for displacement
s = cumtrapz(t, v);      % integrate velocity to get displacement

% Plot the displacement graph
plot(t, s);
xlabel('Time (s)');
ylabel('Displacement (m)');
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In the code, we first define the acceleration and time vectors, and then we use the built-in cumtrapz function to integrate the acceleration vector to get velocity (v), and then integrate the velocity to get displacement (s). Finally, we plot the displacement graph against time using the plot function.