Bobbing cork A cork bobs up and down in a lake. The distance from the bottom of the lake to the center of the cork at time t ≥ 0 is given by s(t)= 12 + cos πt, where s(t) is in feet and t is in seconds.
(a) Describe the motion of the cork for 0 ≤ t ≤ 2.
(b) During what time intervals is the cork rising?
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