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The position vector r describes the path of an object moving in space. Position Vector Time r(t) = thi + ti + 2+3/2k t=4 (a) Find the velocity vector v(t), speed s(t), and acceleration vector a(t) of the object. v(t) = 2 ti + j + 3 V t k X s(t) = V 41- + 1 +9t 3 a(t) 21 + k 2V t X (b) Evaluate the velocity vector and acceleration vector of the object at the given value of t. v(4) - 87 + j + 6k X 21 + H / CO a(4) = k X