PA-28 Cherokee/Archer/Dakota/Pillan/Warrior
Flight Crew Instrument; Flight Crew Flight Instructor; Flight Crew Commercial
Flight Crew Last 90 Days 153; Flight Crew Total 1514; Flight Crew Type 245
Communication Breakdown; Situational Awareness
Conflict NMAC; Deviation - Altitude Excursion From Assigned Altitude; Deviation / Discrepancy - Procedural Clearance; Deviation / Discrepancy - Procedural Published Material / Policy
Flight Crew Took Evasive Action
Human Factors
After takeoff from ZZZ; still on frequency with ZZZ Tower; I was warned about traffic 9 o'clock a few miles away. I had the traffic in sight - it was pointed directly at me at the time; and due to the distance I determined it would thus pass well behind me. I was at about 1;800 ft.; climbing; and the jet was higher (maybe 3;000 ft.).About 10-20 seconds later; I noticed the jet was in [an approximately] 20 degree left bank turning directly toward me and descending in what appeared to me as a direct collision course.I immediately entered a very steep diving turn to lose altitude as quickly as possible. I descended rapidly from 2;100 ft. to 1;500 ft.; while the jet passed above me at probably 2300 ft. I resumed climbing and returned to ZZZ1 uneventfully. The [jet] pilot reported to ZZZ Tower they received an RA.
PA28 Flight Instructor reported a NMAC on departure climb out with another aircraft on initial approach.