Modeling with periodic functions: Cyclical exponential decay. A spring is attached to the ceiling and pulled 17 cm down from equilibrium and released. After 4 seconds the amplitude has decreased to 10 cm. Also, the spring oscillates 12 times each second. Assuming that the amplitude is decreasing exponentially, below is a model for the distance, D the end of the spring is below equilibrium, in terms of seconds, t: D(t) = 17(0.87577)* - cos(24rt) . [Note: Here we define t as the number of seconds elapsed. Also, locations below the resting position have negative values for D.] 6 seconds, how far from equilibrium is the end of the spring? If your answer is a decimal, please round to no more than 3 decimal places. After t cm

Modeling with periodic functions: Cyclical exponential decay. A spring is attached to the ceiling and pulled 17 cm down from equilibrium and released. After 4 seconds the amplitude has decreased to 10 cm. Also, the spring oscillates 12 times each second. Assuming that the amplitude is decreasing exponentially, below is a model for the distance, D the end of the spring is below equilibrium, in terms of seconds, t: D(t) = 17(0.87577)* - cos(24rt) . [Note: Here we define t as the number of seconds elapsed. Also, locations below the resting position have negative values for D.] 6 seconds, how far from equilibrium is the end of the spring? If your answer is a decimal, please round to no more than 3 decimal places. After t cm

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Description: Modeling with periodic functions: Cyclical exponential decay. A spring isattached to the ceiling and pulled 17 cm down from equilibrium and released.After 4 seconds the amplitude has decreased to 10 cm. Also, the spring oscillates12 times each secon

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter2: One Dimensional Motion

Section: Chapter Questions

Problem 18PQ

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