Let vector r(t) = <5sin(t), 5cos(t), 2t^(3/2)> be the position function of an object. a. Find vector v(t) and vector a(t), the velocity and acceleration of the object. b. Find the speed of the object. c. Find the distance the object travels on the interval [0, 1]. Also find the average speed of the object on this interval.

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