How to include datasets of both velocity as acceleration

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?

Answer 1

[Ameer Hamza]

Use gradient to keep the vector length equal

a = gradient(v)./gradient(t)

[Frank Oosterveld]

very nice, that's it!

[Ameer Hamza]

Glad to be of help.