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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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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.

<div class="content"><div class="qa-summary-feedback"><div class="row-fluid"><div class="span8 well"><div class="row-fluid"><div class="span9"><div><p>To find the position function we integrate velocity function and use s(0)=2.</p><div class="content"><div class="qa-summary-feedback"><div class="row-fluid"><div class="span8 well"><div class="row-fluid"><div class="span9"><div><p>Answer(A): Position function= s(t)= 2cos(pi*t)/pi+2-2/pi</p></div></div></div></div></div></div></div></div></div></div></div></div></div></div>

<div><div><div><div><div><div><div><p>Answer(B): Graphed the position function on the interval [0,3]</p></div></div></div></div></div></div></div>...

Calculus

Math

<p>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.</p>

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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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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