Final answer:
Throwing a ball off a cart on a frictionless track towards the left will result in the cart moving to the right, following Newton's Third Law of Motion.
Step-by-step explanation:
If you throw a ball off the cart towards the left, the cart will indeed be put into motion due to Newton's Third Law of Motion, which states for every action, there is an equal and opposite reaction. Since there is no friction to oppose this reaction force, the cart will move in the opposite direction of the ball, which means it will move to the right.