Suppose that the acceleration vector of a particle is given by a(t) = (-16 cos(-4t), -16 sin(-4t), -2t), the paricle's initial velocity is v(0) = (1, 0, 1), and the particle's initial position vector is r(0) = (1, 1, 1). Compute the following: A. The velocity vector of the particle at time t: v(t) = it j+ k B. The position vector of the particle at time t: r(t) = it i+ k Note: Your answers must be functions of t