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A ball that is bobbing up and down on the end of a spring has a maximum displacement of 3 inches. Its ideal motion is

A ball that is bobbing up and down on the end of a spring has a maximum displacement of

3 inches. Its ideal motion is modeled by y = 14 cos 16t (t > 0), where y is in feet and t is in seconds.

(a) What is the period of the oscillations?

(b) Determine the first time the weight passes the point of equilibrium (y = 0).

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