As used in this part, unless the context otherwise requires:
(1) “Fresh pursuit” includes fresh pursuit as defined by the common law, and also the pursuit of a person who has committed a felony or who is reasonably suspected of having committed a felony; It also includes the pursuit of a person suspected of having committed a supposed felony, though no felony has actually been committed, if there is reasonable ground for believing that a felony has been committed;
(2) “Fresh pursuit” does not necessarily imply instant pursuit, but pursuit without unreasonable delay; and
(3) “State” includes the District of Columbia.