worksheet2 - j + t sin 2 k Find the max and min values of v...

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Math 1920 Worksheet 2 1) The position and velocity curves of the problem just discussed are plotted below. The velocity curve has some asterisks that denote specific t values. Approximate where the corresponding position asterisks should be for each t value. -6 -4 -2 0 2 4 6 8 -8 -6 -4 -2 0 2 4 x y t = [0 , 2pi] Position Velocity 2) A particle moves along an ellipse 1 2 3 2 2 = + z y in the yz –plane in such a way that the position vector is given as follows: r = t cos 3
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Unformatted text preview: j + t sin 2 k Find the max and min values of v and a . (Hint: find max and min of 2 v and 2 a first.) 3) The curve r = < cos t, sin t, 1 cos t > with 0 t 2 is an ellipse formed by the intersection of a right circular cylinder and a plane. a) Find equations for the cylinder and the plane. b) Show the acceleration vector always lies in the plane of the ellipse. c) Write an expression for the perimeter of the ellipse....
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worksheet2 - j + t sin 2 k Find the max and min values of v...

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