00:01
Okay, so for this question, we are given a position function.
00:06
We aren't told what the position function is.
00:10
I'm just going to say something in terms of t, right? the position is given by something in terms of t.
00:18
And we are asked to find the average velocity between times a and times b.
00:36
So the really key thing that you need to know here, and this is a.
00:40
Something that's going to keep coming up in your cal classes is that velocity is the slope of position.
00:53
So whenever you're talking about a position, which is usually represented as s of t, but it can be represented as like height or things too, the slope of that at a given point or between two points is the velocity.
01:07
And the slope of the velocity, we don't use that in this, but it's good to know the slope of the velocity is acceleration.
01:17
The other thing that if you're in calculus in doing this, the other thing that you'll need to know is that the slope in this case also is the derivative.
01:27
So slope and derivative mean the same thing...