As used in this subchapter the terms:
(1) “Fresh pursuit” shall include fresh pursuit as defined by the common law, and also the pursuit of a person who has committed a felony or an offense of driving or operating a vehicle while intoxicated, impaired, or under the influence or who is reasonably suspected of having committed a felony or an offense of driving or operating a vehicle while intoxicated, impaired, or under the influence. It shall also include the pursuit of a person suspected of having committed a supposed felony or an offense of driving or operating a vehicle while intoxicated, impaired, or under the influence, though no felony nor an offense of driving or operating a vehicle while intoxicated, impaired, or under the influence has actually been committed, if there is reasonable ground for believing that a felony or an offense of driving or operating a vehicle while intoxicated, impaired, or under the influence has been committed. Fresh pursuit as used in this subchapter shall not necessarily imply instant pursuit, but pursuit without unreasonable delay;
(2) “State” shall include the District of Columbia.