Suppose we do not know the path of a hang glider, but only its acceleration vector a(t) = −(3 cos t)i − (3 sin t)j + 2k. We also know that initially (at time t = 0) the glider departed from the point (4, 0, 0) with velocity v(0) = 3j. What is the glider's position as a function of t?
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