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I have measured the velocity of an object at discrete intervals. I want to find the corresponding acceleration and jerk of the object. How do I do this with discrete values rather than continuous variables?

I think acceleration is simply a = (V2-V1)/(t2-t1), but what times do I use for the jerk equation?

If I were to plot these values, what times would I plot acceleration and jerk against? i.e. does a1 pair with t1 or t2? Or do I plot a1 over the interval between t1 and t2?

enter image description here

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Since what you calculated here is not instantaneous acceleration but rather average acceleration, you can't determine the average jerk. You can only estimate a value for average jerk. And because it is only an estimation you can consider the average accelerations you obtained between $t_1$ and $t_2$ to be instantaneous acceleration at $(t_1+t_2)/2$ just for the sake of finding an estimate. Note: This won't give you the exact value of jerk but only an estimate.

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