4 - ends at the current position of the object(see Figure...

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4.1. Position In Chapter 2 we discussed the motion of an object in one dimension. Its position was unambiguously defined by its distance (positive or negative) from a user defined origin. The motion of this object could be described in terms of scalars. The discussion about motion in two or three dimensions is more complicated. To answer the question "where am I ?" in two dimensions, one needs to specify two coordinates. In three dimensions one needs to specify three coordinates. To specify the position of an object the concept of the position vector needs to be introduced. The position vector is defined as a vector that starts at the (user defined) origin and
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Unformatted text preview: ends at the current position of the object (see Figure 4.1). In general, the position vector will be time dependent (t). Using the techniques developed in Chapter 3, we can write the position vector in terms of its components: Figure 4.1. Definition of Position Vector. Note : In Chapter 2 we got used to plotting the position of the object, its velocity and its acceleration as function of time. In two or three dimensions, this is much more difficult, and most graphs will show for example the trajectory of the object (without providing direct information concerning the time)....
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This document was uploaded on 11/25/2011.

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