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Let r(t) = 1/2t ,4t^1/2 ,2t be a position function for some object. (a) (2 pts)...

Let r(t) = 1/2t ,4t^1/2 ,2t be a position function for some object.

(a) (2 pts) Find the position of the object at t = 1. (b) (6 pts) Find the velocity of the object at t = 1.

(c) (6 pts) Find the acceleration of the object at t = 1. (d) (6 pts) Find the speed of the object at t = 1.

(e) (15 pts) Find the curvature K of the graph C determined by r(t) when t = 1.

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