The position vector describes the path of an object moving in the xy-plane.

(a) Find the velocity vector, speed, and acceleration vector of the object.
(b) Evaluate the velocity vector and acceleration vector of the object at the given point.
(c) Sketch a graph of the path, and sketch the velocity and acceleration vectors at the given point.

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Position Vector r(t) = (t sin t, 1 - cos t) Point (T, 2)