x - retracing its path An example of such an object is a...

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x(t) = cos wt , where w is a constant. An object with this position function is undergoing simple harmonic motion, which means its position is oscillating back and forth in a special fashion. Since the range of the cosine function is (- 1, 1) , the object is constrained to move within this small interval and will forever be
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Unformatted text preview: retracing its path. An example of such an object is a ball hanging from a spring that is bouncing up and down. In contrast to the above three examples, this kind of function describes motion where neither the position, velocity, nor acceleration of the object are constant....
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