Hey, guys. So for the next couple of videos, we're going to see how motion in a two-dimensional plane works, or this is sometimes called motion at an angle because you're going to need to know how to solve these kinds of problems. So what I want to do in this first video is just give you a brief overview of what motion in 2D is all about. Let's check it out.
Let's say I had a problem in which I had to move from point A to point C. Now when we studied one-dimensional motion, we were restricted to either the x or the y axis. So we're kind of locked. I can only move on the x-axis or the horizontal axis or on the y-axis or the vertical axis. Now, both of these are examples of one-dimensional motion because, again, you're locked into either the x or the y. Now if you weren't restricted to the x or y, if you could actually move freely, then you could just move straight from A to C at some angle θ. And we saw how this worked when we studied vectors. So this is just two-dimensional motion. And notice how we just come up with another triangle. So really, motion at an angle, like going from A to C, is really just combining two one-dimensional motions. It's as if you went from A to B and then B to C at the same time. So, really, this just turns into a bunch of triangles, so we're just going to combine motion with vector's equations.
So here's the deal. Whenever we have motion in 2 dimensions, we're going to break it down into x and y, and then we're going to use combinations of all of the motion equations, basically, all of our average velocities and our Uniformly Accelerated Motion (UAM) equations with our vectors equations. Basically, everything that tells us how to deal with triangles. That's really all there is to it. So let's go ahead and check it out.