What are the situations in which a free kick may be used?

A free kick is a method of restarting play in several specific situations, and the noted choice encompasses all the scenarios where a free kick can occur.

A kickoff happens at the start of each half and after each touchdown, which is crucial for reintroducing play after scoring. Additionally, a safety leads to a free kick as well, allowing the defending team to restart with possession. The fair catch is another situation where a free kick may be awarded if certain conditions are met — such as when the receiving team signals for a fair catch while receiving a kick, they have the option to execute a free kick from the spot of the catch, enabling a strategic opportunity for the team.

Focusing on the rest of the options, while a kickoff follows a touchdown and occurs at the beginning of each half, they do not encapsulate the complete range of free kick scenarios as extensively as stated in the correct choice. A two-point conversion does not lead to a free kick; instead, it follows the touchdown play directly without additional kicking. Understanding these nuances is vital for maintaining proper game flow and strategy in football.