Which of the following would NOT typically be considered a part of personal injury law?

Personal injury law primarily deals with cases where individuals suffer harm due to the negligence or wrongful conduct of others. This typically includes scenarios that result in physical or psychological injury. Options such as car accident claims, medical malpractice, and slip and fall accidents all fall squarely within this area of law, as they involve clear cases of an individual being harmed as a result of someone else's actions.

Car accident claims involve injuries sustained because of negligent driving or unsafe road conditions. Medical malpractice cases arise when healthcare professionals fail to provide adequate care, leading to harm to the patient. Slip and fall accidents happen when individuals are injured due to unsafe conditions on someone else's property, again highlighting negligence.

Contract disputes, however, pertain to disagreements regarding the terms of a contract or failure to fulfill contractual obligations. These disputes do not typically involve personal injuries or the need to establish negligence in the same way as the other options. Thus, this distinguishes contract disputes from personal injury law, validating the choice as the correct answer.