Position Functions in One Dimension In order to describe the motion of an object we must be to determine the position of the object at any point in time. In other words, if we are given the problem of describing the motion of an object, we will have reached a solution when we find a position function, x ( t ) , which tells us the position of that object at any moment in time. (Note that " t " is usually understood to be a time variable, so in writing the position function " x " as " x ( t ) " we are explicitly indicating that position is a function of time. ) There are a variety of functions that can correspond to the position of moving objects. In this section we will introduce some of the more common ones that tend to arise in basic physics problems. Examples of Position Functions 1. x ( t ) = c , where c is a constant. As you might expect, an object that has this as its position function isn't going anywhere. At all times its position is exactly the same: c . 2.
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