. Oscillation of a Spring A ball that is bobbingup and down on the end of a spring has a maximumdisplacement of 3 inches. Its motion (in ideal conditions)is modeled by y = 14 cos 16t, t > 0, where y is measuredin feet and t is the time in seconds.(a) Graph the function.(b) What is the period of the oscillations?(c) Determine the first time the weight passes the pointof equilibrium (y = 0).

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
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Chapter1: Trigonometry
Section1.8: Applications And Models
Problem 55E: Oscillation of a Spring A ball that is bobbing up and down on the end of a spring has a maximum...
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. Oscillation of a Spring A ball that is bobbing
up and down on the end of a spring has a maximum
displacement of 3 inches. Its motion (in ideal conditions)
is modeled by y = 1
4 cos 16t, t > 0, where y is measured
in feet and t is the time in seconds.
(a) Graph the function.
(b) What is the period of the oscillations?
(c) Determine the first time the weight passes the point
of equilibrium (y = 0).

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