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1. (09.03 MC) A point moves in a plane such that its position is defined by x = In2t and y = 3 - to.

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1. (09.03 MC) A point moves in a plane such that its position is defined by x = In2t and y = 3 - to. Find the acceleration vector when t = 2. (1 point) O 2305 16 O (-1-12) O (- - 12 ) O 325 4 2. (09.03 MC) A particle moves according to the position vector s(t) = (sint,cos 21). Determine when the particle is at rest. (1 point) Of=0 Of = n t = 2n3. (09.03 MC) All changes sa At t = 0 a particle is at point (1, -2). Find the position of the particle that moves with velocity vector v(t) = (t-a cosat,21 - x sinat) when t = 3. (1 point) O 11, 8 O (10) O 11, 5 4. (09.03 MC) What is the formula for the total distance traveled by a particle from t = 0 to t = 4 given the position s() = (1+ 1,-1/3 )? (1 point) 0 1 ( V1+ 21 + 12 - )at O i ( JA + 1 2 + 1 0 O i ( VM + 1 2 + 21 + 1 0 19 45. (09.03 MC) An object moves along a curve in the xy-plane according to the position (e cost,tan"1 2/) Find the speed of the object when t = 1. Round to three decimal places. (1 point) 0.912 0.911 2.496 2.495

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