TOscillating motion A mass hanging from a spring is set in motion, and its ensuing velocity is given by v(t) = 2π cos πt, for t≥ 0. Assume the positive direction is upward and s(0) = 0. a. Determine the position function, for t≥ 0. b. Graph the position function on the interval [0, 4]. c. At what times does the mass reach its low point the first three times? d. At what times does the mass reach its high point the first three times?
TOscillating motion A mass hanging from a spring is set in motion, and its ensuing velocity is given by v(t) = 2π cos πt, for t≥ 0. Assume the positive direction is upward and s(0) = 0. a. Determine the position function, for t≥ 0. b. Graph the position function on the interval [0, 4]. c. At what times does the mass reach its low point the first three times? d. At what times does the mass reach its high point the first three times?
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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