Last year in November, I bought two paw paw trees and planted both in a large pot and put them in my garage to over winter them. When the weather started to warm up in April, I put them out in my porch in full shade, because time and time again during my research about these trees, I've been told that they needed protection from the full sun.
Due to that, both trees were really slow to leaf out, to the point where I firmly believed that one of them were dead. I finally decided to put them out into the sun in the beginning of May, and they've been leafing out and growing very well thus far. But now, as the temperature finally hit 80s in my area, I'm beginning to worry about the sun protection issue again.
In the area behind our house where I've placed the pot, the trees get full down from around 8am to right about 2~3pm, then they are in full shade until sun set. I originally thought they would be fine without any extra protection since they'd be shielded from the worst of afternoon sun and heat, but I would like to ask someone with more experience before proceeding.



Would these trees need some extra protection from the sun? I am especially worried about the smaller tree as it was much slower to leaf out, and this much smaller, so I'm worried about it burning up in the summer heat.
Any input will be much appreciated, thank you.