10_1425_web_Lec_04_2D_Motion

10_1425_web_Lec_04_2D_Motion - Motion in Two and Three...

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Motion in Two and Three Dimensions: Vectors Physics 1425 Lecture 4 Michael Fowler, UVa.
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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 . First we must generalize displacement, velocity and acceleration to two and three dimensions: these generalizations are vectors .
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Displacement We’ll work usually in two dimensions—the three dimensional description is very similar. Suppose we move a ball from point A to point B on a tabletop. This displacement can be fully described by giving a distance and 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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Displacement as a Vector Now move the ball a second time. It is evident that the total displacement , the sum of the two, called the resultant , is given by
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This note was uploaded on 12/07/2011 for the course PHYSICS 1425 taught by Professor Michaelfowler during the Spring '10 term at UVA.

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10_1425_web_Lec_04_2D_Motion - Motion in Two and Three...

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