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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.
It is probably clear by now that, although the position function of an object is our ultimate goal in solving kinematics problems, position is closely related to other quantities such as velocity and acceleration. In the next section we will make such relationships more precise, and find that knowledge of the velocity or acceleration of an object can help us find its position function. Conversely, knowledge of an object's position function is all we need to reconstruct its velocity and acceleration functions.
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