in hot pursuit
Pursuing someone in order to apprehend them, especially across a border.
PC Winters gunned the patrol car out of the side road where they'd been parked, bored and waiting for the end of their shift, and took off in hot pursuit.
pursuit
UK /pə(ɹ)ˈsjuːt/ US /pɜːɹˈsuːt/
noun 4
Definitions
noun
1
The act of pursuing.
Unremitting pursuit of wealth doesn't bring happiness, particularly if successful.
Mother[…]considered that the exclusiveness of Peter's circle was due not to its distinction, but to the fact that it was an inner Babylon of prodigality and whoredom, from which every Kensingtonian held aloof, except on the conventional tip-and-run excursions in pursuit of shopping, tea and theatres.
2
A hobby or recreational activity, done regularly.
3
A discipline in track cycling where two opposing teams start on opposite sides of the track and try to catch their opponents.
4
prosecution
That pursuit for tithes ought, and of ancient time did pertain to the spiritual court.
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