A TRACON Controller reported a departing aircraft climbed at an unusually slow rate and flew below the Minimum Vectoring Altitude.

Narrative

While working X sector Y [sector] calls for a departure off ZZZ for ZZZ1. These departures are released on X sector freq. and are routed runway heading climbing to 030. I radar identify Aircraft X on departure and give them a 030 heading and then a climb to 040. There was a photo mission at 055 and wanted to avoid a TCAS and also was going to keep Aircraft X in the lower 039 MVA to be sequenced behind inbound traffic. Aircraft X did not climb very well at all. Climbing to only 028 over an estimated 5 miles of flight. I noticed the climb rate too late to avoid the MVA and gave the aircraft an immediate climb to 040 and then to 050. The aircraft quickly climbed above the MVA and landed uneventfully at ZZZ1 airport.Recommendation: In my time working traffic at ZZZ [TRACON] I've never seen a jet or turboprop aircraft perform so poorly with the exception of an emergency aircraft. I wasn't expecting nor would I have ever thought this would be an issue. I will have to pay more attention in the future or have the Y sector work them where they are used to dealing with their MVAs in that area.