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3. Problem 3 The figure below includes the graph of a curve C that is parameterized by the vector function r(t), a point on the
3. Problem 3 The figure below includes the graph of a curve C that is parameterized by the vector function r(t), a point on the curve P, and the acceleration vector at P. Note the black arrows on the path to indicate the direction of motion. C p a ( P ) (a) (1 Point) (Evaluated for mathematical work - accuracy and notational neatness) On the above figure at the point , sketch the unit tangent vector T and the (principal) unit normal vector N. They do not need to be to scale, but they do need to point in the correct directions. Also make sure you are clear which one is which. (b) (1 Point) (Evaluated for justification and written explanation) At the point P, is the particle speeding up, slowing down, or momentarily at a constant speed? Explain how you know this based on the acceleration vector drawn
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