How to include datasets of both velocity as acceleration

Question

Frank Oosterveld 2020-4-4

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https://ww2.mathworks.cn/matlabcentral/answers/515287-how-to-include-datasets-of-both-velocity-as-acceleration

评论： Ameer Hamza 2020-4-8

采纳的回答： Ameer Hamza

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Good afternoon all,

From a big dataset of both the velocity as the time - for explanational purposes, lets say:

v = [v1, v2, v3, v4] 
t = [t1, t2, t3, t4]

I require the acceleration. By differentiating in the common way, we will obtain the following dataset for the acceleration:

a = diff(v)/diff(t) % = [a1 a2 a3]

Now I got a dynamic equation where the function has variables of both the velocity, time AND acceleration. That is f(a,v,t).

However, the vector dimensions are unequal. How should I proceed? Is it possible to shift the accelerations by +/- 0.5 seconds (how in earth?) such that the acceleration is measured in the correct point. Then I could remove the first or last set of the dataset of 'v' and 't', such that the datasets align in lenghts? Or how would you guys proceed?