The position vector of a particle moving in 3 dimensions, (x, y, z), is given by: r(t) = (2At, Bt, 3 At), where t is time in seconds (s), and A and B are constants with values of A = 2.0 ms and B = 3.0 ms-. (a) Calculate the magnitude of the position vector at t = 1.0 s. (b) State the velocity vector v and the acceleration vector a in terms of A, B, and t.