A 500-g object is attached to a spring having a spring constant of 6 N/m and allowed to come to rest. The object is set into motion by applying an external force F(t) = 24 cos 3t – 33 sin 3t. Find the subsequent motion of the mass if the surrounding medium offers a resistance of −3,000,000,000u nN. Find also the velocity of the object at t = 0.3 sec.