The motion of an oscillating weight suspended from a spring was measured by a motion detector. The data were collected, and the approximate maximum displacements from equilibrium (y = 3) are labeled in the figure. The distance y from the motion detector is measured in centimeters, and the time t is measured in seconds. (0.125, 3.32) 4 (a) Is y a function of t? O Yes ○ No (0.375, 2.68) 0.9 Explain. ○ For some value of t there is more than one value of y. ○ For some value of y there is more than one value of t. OFor each value of t there corresponds one and only one value of y. For each value of y there is some value of t. ◇ For each value of y there corresponds one and only one value of t. (b) Approximate the amplitude and period. amplitude period cm S (c) Find a model for the data. y = (d) Use a graphing utility to graph the model in part (c). Compare the result with the data in the figure.

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