A mass hanging from a spring is set in motion, and its ensuing velocity is given by v(t)=2πcosπt for ≥0t≥0. Assume the positive direction is upward and s(0)=0.
a. Determine the position function, for ≥0t≥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?
