Question

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?

Image Transcription

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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