Which of the following is a term for a person who contracts with another to do something for the other person but is not controlled by the other or subject to the other's right to control with respect to his physical conduct in the performance of the undertaking?

An Independent Contractor.

Explanation:

An independent contractor or freelancer is a person who works for the other person as a non-employee. An independent contractor is not under the control of his/her employer. They do not share the relation with their employer for long term. Such contractors are self-employed. It is almost like a company or person hire someone to work for them for a certain period.

For example, an actor is an independent contractor. An actor/actress work for his/her producer for a period till they complete their project together.

So, the definition given is referring to an Independent contractor.