Find the velocity and position vectors of a particle that has the given acceleration and the given initial velocity and position. a(t) = 5i +8j, v(0)=k, r(0) = i v(t) = r(t) = -1 points SCalcET7 13.4.017. (a) Find the position vector of a particle that has the given acceleration and the specified initial velocity and position. a(t) = 16ti + sintj + cos2tk, v(0) = i, r(0) = j r(t) = (b) on your own using a computer, graph the path of the particle. -/1 points SCalcET7 13.4.018. (a) Find the position vector of a particle that has the given acceleration and the specified initial velocity and position. a(t) = 11ti + etj + e-k, v(0)=k, r(0) =j+ k r(t) = (b) on your own using a computer, graph the path of the particle.