MATH 222 Final: MATH 222 KSU Final Exam f98
15 Feb 2019
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To receive credit you must show your work. (15) 1. An object is moving in 3-space in such a way that its acceleration vector as a function of time is ~a = (cos t)~i (sin t)~j . Suppose you know that at time t = 0 , the velocity vector is ~v(0) = ~i + ~k and the position vector is ~r(0) = ~j . Find the velocity vector and the position vector as functions of t , and then give the parametric equations of the motion. A particle is moving in the plane along the curve y = 2x2 x in the direction of increasing x . A quantity q depends upon x and y according to q = y2ex2y . Suppose x and y are changing with the time t and you know that at a certain instant dq dt at this x = 2 , y = 1 , instant. dx dt.
