The position vector r describes the path of an object moving in the xy-plane. Position Vector Point r(t) = 6 cos ti + 6 sin tj (3√2, 3√√/2) (a) Find the velocity vector v(t), speed s(t), and acceleration vector a(t) of the object. v(t) = s(t) = a(t) = (b) Evaluate the velocity vector and acceleration vector of the object at the given point. √(7) = a 20 = (c) Sketch a graph of the path, and sketch the velocity and acceleration vectors at the given point. y y O -8 -6 -4 -2 8 4 21 -2 -4 -8 V a 2 I 4 16 8 X -8 -16 -4 -2 8 4 2 -2 -8 V a I 2 4 I 15 8 X

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