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 vectorsif isrow(t)
t = t';
endif isrow(s)
s = s';
end% Compute velocity and accelerationdt = diff(t);
v = diff(s) ./ dt;
a = diff(v) ./ dt(2:end);
% Compute displacementd = zeros(size(s));
fori = 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 transposedif isrow(t)
a = a';
v = v';
d = d';
endend
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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.