A mass hanging from a spring is set in motion, and its ensuing velocity is given by
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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 that the positive direction is upward and that 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?
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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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