(a) Find the position vector of a particle that has the given acceleration and the specified initial velocity and position. a(t) = 14ti + sin(t)j + cos(2t) k, v(0) = i, r(0) =j r(t)= +t'+(1+t' t)'+l(1 2t)k 3 1 s1n J 4 cos (b) On your own using a computer, graph the path of the particle