MATH 222 Midterm: MATH 222 KSU Test 1s02
15 Feb 2019
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To receive credit you must show your work. (30) 1) an object is moving in 3-space according to the parametric equa- tions x = t, y = t2, z = 3t2. Recitation time: (15) 2) an object is moving in 3-space in such a way that its acceleration vector as a function of time t is ~a = (cos t)~i (sin t)~j ~k. Suppose you know that at time t = 0 the velocity vector is ~v(0) = ~j + ~k and the position vector is ~r(0) = 10~k. Find the velocity vector and the position vector as functions of time and then give the parametric equations of the motion. Recitation time: (15) 3) an object is moving in the plane around the circle x2 + y2 = 100. Find the velocity vector and the acceleration vector when t = 1.
