In: Math
Let r(t) = 2t ,4t2 ,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.