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# Calculating acceleration from displacement measurements

I have a table of measurements s(t):

t[s], s[m]

1. 0, 0
2. 12.48, 26.4
3. 18.06, 52.8
4. 22.32, 79.2

I have calculated all values for $$a$$ using $$a=\frac{2s}{t^2}$$ and simply sticking the values into the formula for each measurement.

I have read here that one should instead use the formula $$s=ut\ +\ \frac{1}{2}at^2,$$ which can be used for the first measurement since $$u=0$$ (which is then effectively the same formula I used). My problem is that I don't know how to calculate values for $$u$$ for each measurement and thus calculate $$a$$ correctly. Is there perhaps another way? Am I doing something wrong?