A mass attached to a spring is pulled downward and released. The displacement of the mass from its equilibrium position after t seconds is given by the function d=Acos(wt), where d is measured in centimeters. The length of the spring when it is shortest is 14 centimeters, and 30 centimeters when it is longest. If the spring oscillates with a frequency of 0.4 Hertz, find d as a function of t.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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A mass attached to a spring is pulled downward and released. The displacement of the mass from its equilibrium position after t seconds is given by the function d=Acos(wt), where d is measured in centimeters. The length of the spring when it is shortest is 14 centimeters, and 30 centimeters when it is longest. If the spring oscillates with a frequency of 0.4 Hertz, find d as a function of t.

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