A mass hanging from a spring is set in motion and its ensuing velocity is given by v(t)=4cost for t0. Assume that the positive direction is upward and s(0)=0.

a. Determine the position function for t0.

b. Graph the position function on the interval [0,3].

c. At what times does the mass reach its lowest point the first threetimes?

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

a. Determine the position function for t0.

s(t)=