Find the velocity, acceleration, and speed of a particle with the given position function. The position function is r(t) = t2 i + 4t j + 8ln(t) k. What is the velocity of the particle? What is the acceleration of the particle? What is the speed of the particle?
A) t2 i + 4 j + 8ln(t) k
B) 2t i + 4 j + 8ln(t) k
C) 2t i + 4 j + 8/t k
D) 2t i + 4 j + 8ln(t)/t k