Problem 2 The position of a mass attached to a spring as a function of time is described by x(t) = Ae-t sin(wt) where A, y, and w are constants (i.e., their values don't change over time). a) Find the function that describes the velocity as a function of time. b) Find the function that describes the acceleration as a function of time.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 68E
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Problem 2
The position of a mass attached to a spring as a function of time is described by
x(t) = Ae-t sin(wt)
where A, y, and w are constants (i.e., their values don't change over time).
a) Find the function that describes the velocity as a function of time.
b) Find the function that describes the acceleration as a function of time.
Transcribed Image Text:Problem 2 The position of a mass attached to a spring as a function of time is described by x(t) = Ae-t sin(wt) where A, y, and w are constants (i.e., their values don't change over time). a) Find the function that describes the velocity as a function of time. b) Find the function that describes the acceleration as a function of time.
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