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A mass hanging from a spring is set in motion and its ensuing velocity is given by v(t)=2pi cos pi(t) for t>/0. Assume that 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 (0,3) c. At what times does the mass reach its slowest points the first three times? d. At what times does the mass reach its highest point the first three times ?

A mass hanging from a spring is set in motion and its ensuing velocity is given by v(t)=2pi cos pi(t) for t>/0.

Assume that 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 (0,3)

c. At what times does the mass reach its slowest points the first three times? 

d. At what times does the mass reach its highest point the first three times ? 

 
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