Question: A mass hanging from a spring is set in motion, and its ensuing velocity is given by v(t) = 2 cos t, for t

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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