Hey, guys. Good to see you. Let's get some more practice with graphing all of these position velocity and acceleration graphs. So we're going to start from the origin. We're shown our velocity-time graph, and we're going to sketch the position and acceleration graphs. Let's just get to it. So we have the velocity-time graph that's shown for us. And so if we're trying to get from the velocity to the acceleration and the position, I always like to start off with the acceleration first because I think it's the easiest. All we have to do is we just have to look at the slope of this line and what it's doing. So the slope of this line is constant and positive. And what that means is that we're going to have a constant positive value for acceleration. So for this little piece right here, up until it gets to this point, the acceleration is just going to have some positive value up until over here. But then what happens is that we have some change or some abrupt change in sort of what the velocity graph is doing. So I've drawn this little, like, dotted line here to sort of indicate that this is like a point where something happens and something changes here. So I'm actually just going to draw that all the way down the motion over here, this dotted line. Okay. So now what happens is that instead of the velocity continuing to increase like it normally would, now what happens is that we have it flipped and now it starts to decrease. The velocity is now going down towards 0 again. So that means that in this section right here, we have a negative constant slope, which means that we're going to have a constant negative value for the acceleration. So that would look like actually basically the same exact flat line, but it's now negative instead of positive. So there's some abrupt change here in the acceleration, and this is what it would look like. So that's the velocity to the acceleration. Now what does the position-time graph look like? The first question is where are we going to start in the first place? And told we're told in the text that we're going to start from the origin, which means we're to start basically right from 0. So now in order to get from the velocity to the position, we need to look at what the values are doing here. Now the values for the velocity graph are actually going to be increasing. Right? The values are continuing to increase, which means that in the position graph, the slope is going to be increasing. So increasing values means increasing slope over here. So what that means is if we have an increasing velocity, then that was going to introduce some curvature. And again, we've already seen this piece right here. So now, what happens in this section? Well, if increasing values make increasing slope, then what happens is decreasing values here, so decreasing values, are going to result in a decreasing slope. So what would that look like? Would it look like this, or would it look like this, or something like that? Well, the velocity is still going to be really high here, and then it's going to eventually go down towards 0. So what happens is the velocity steepness is still going to continue on being the same, but eventually it's going to flatten out and become 0 over here. So whenever this line here becomes flat, then that's going to correspond to the velocity equaling 0 on the graph. So that means that, basically, it's going to take this weird like S looking shape over here, and this is actually what the position-time diagram would look like. Alright, guys. Hopefully, this sort of wraps this up. Let me know if you have any questions. That's it for this one.