implement a matlab function that takes time , and as inputs and returns acceleration, , velocity, , and displacement, . write your function so that it works also when is a vector of values. in matlab

main.m
function [a,v,d] = computeAVD(t,s)
%COMPUTEAVD Computes acceleration, velocity, and displacement from time series
%   [a,v,d] = COMPUTEAVD(t,s) computes the acceleration (a), velocity (v), and 
%   displacement (d) from the input time series (t) and displacement series (s). 
%   Both t and s must be vectors of equal length.
%
%   If an input is a row vector, COMPUTEAVD transposes it into a column vector.

% Transpose row vectors into column vectors
if isrow(t)
    t = t';
end

if isrow(s)
    s = s';
end

% Compute velocity and acceleration
dt = diff(t);
v = diff(s) ./ dt;
a = diff(v) ./ dt(2:end);

% Compute displacement
d = zeros(size(s));
for i = 2:length(s)
    d(i) = d(i-1) + v(i-1)*dt(i-1) + 0.5*a(i-1)*dt(i-1)^2;
end

% Transpose output variables if input vectors were transposed
if isrow(t)
    a = a';
    v = v';
    d = d';
end

end
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This function computes the acceleration, velocity, and displacement from a time series and a vector of displacements using numerical methods. The function works for both scalar and vector inputs.

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