Question: Computing tangential and normal acceleration vectors on a curve (circle) and then graphing it

 r(t) = x(t)i + y(t)j  where the curve is given by x=36cos2t and y=36sin2t

1. Is there a command to compute the normal acceleration vector? Or do I have to go through the formula step by step?

2. Same as above, except for tangential acceleration vector.

3. How do I graph the circle, the tangential vector, and the acceleration vector all on one 3dplot?

 

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