A mass hanging from a spring is set in motion and its ensuing velocity is given by v(t) = 4x cOS at for t2 0. Assume that the positive direction is upward and s(0) = 0. a. Determine the position function for t20. 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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