To be appointed, candidates must also pass a background investigation consisting of a criminal history check, polygraph examination, a psychological examination, a medical and drug examination, physical agility examination, an interview with the Chief of Police and a working test/probationary period of one year after graduation from the Police Academy. In-Person or Mail: Complete applications, including all required documents and fee submissions can be submitted in person or by mail to the City of Hartfords Human Resources Department, 550 Main Street, Room 3, Hartford, CT 06103.