a. Determine the position function for t 0 b. Graph the position function on the interval [0,3] c. At what times does the mass reach its lowest point the first three times? d. At what times does the mass reach its highest point the first three times?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 51E
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A mass hanging from a spring is set in motion and its ensuing velocity is given by v(t) = -2 sin (pi*t) for t >= 0.  Assume that the positive direction is upward and so s(0) = 2.

a. Determine the position function for t 0
b. Graph the position function on the interval [0,3]
c. At what times does the mass reach its lowest point the first three times?
d. At what times does the mass reach its highest point the first three times?
Transcribed Image Text:a. Determine the position function for t 0 b. Graph the position function on the interval [0,3] c. At what times does the mass reach its lowest point the first three times? d. At what times does the mass reach its highest point the first three times?
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