And what I would like you to do is pause this video and figure out what the average acceleration is of this particle over the interval, the closed interval from t is equal to one to t is equal to two. What is this going to be equal to? So assuming you've given a go at it, and the first thing you might have realized is we're trying to take the average value of a function that we don't know explicitly yet. We know the position function, but not the acceleration function. But luckily, we also know that the acceleration function is the derivative with respect to time of the velocity function, which is the derivative with respect to time of the position function. So the acceleration function is the second derivative of this, and then we have to just find its average value over this interval. So let's do that.