Q: iPhone 5 will randomly jump to the start up screen while using apps, then when I reset, it gets stuck on a repeating apple logo.

My iphone 5 will randomly jump to the start up screen when I am using it. It doesn't matter which app or what I am doing as far as I can tell. Then most of the time it will never reboot from the start screen. The apple logo will just fade out and then start right back up. Even after multiple resets it doesn't work. Right now, the phone goes through the start up then just turns off again. It had a full charge before all this happen, and I just restored it about a week ago when this happened.

I recently received the free battery replacement if that matters.