The displacement from equilibrium of a mass oscillating on the end of a spring suspended

Chapter 5, Problem 92

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Harmonic Motion The displacement from equilibrium of a mass oscillating on the end of a spring suspended from a ceiling is \(y=1.56 e^{-0.22 t} \cos 4.9 t\), where y is the displacement in feet and t is the time in seconds. Use a graphing utility to graph the displacement function on the interval [0, 10]. Find a value of t past which the displacement is less than 3 inches from equilibrium.

Text Transcription:

y = 1.56e^-0.22t cos 4.9t

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