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8. yesenia performed an experiment on the motion of a pendulum. her dat…

Question

  1. yesenia performed an experiment on the motion of a pendulum. her data from one trial is shown on the graph below. position vs. time what type of function would best fit this set of data? square root function inverse square function sinusoidal function inverse linear function

Explanation:

Brief Explanations

A pendulum's motion is periodic. A sinusoidal function (like \(y = A\sin(Bx - C)+D\) or \(y=A\cos(Bx - C)+D\)) is used to model periodic phenomena. Square - root (\(y = \sqrt{x}\)), inverse - square (\(y=\frac{k}{x^{2}}\)), and inverse - linear (\(y=\frac{k}{x}\)) functions are non - periodic.

Answer:

sinusoidal function