Today’s Topics•In the previous lecture, we analyzed the motion of a particle moving vertically under gravity.•In this lecture and the next, we’ll generalize to the case of a particle moving in two or three dimensions under gravity, like a projectile.•Firstwe must generalize displacement, velocity and acceleration to two and three dimensions: these generalizations are vectors.
Displacement•We’ll work usually in two dimensions—the three dimensional description is very similar.•Suppose we move a ball from point Ato point Bon a tabletop. This displacementcan be fully described by giving a distanceand a direction. •Both can be represented by an arrow, the length some agreed scale: arrow length 10 cm representing 1 m displacement, say.•This is a vector, written with an arrow : it has magnitude, meaning its length, written , and direction.r||r
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