iPhone will not turn on at all, completely unresponsive.

My iphone fell out of my pocket at work and it had a rubber case on it but it landed on the corner. It immediately shut off after this happened. I finished what I was doing and then plugged it into the wall and held the on and home button and it turned back on.(this occured about 2 P. M.) Later in the evening I was at home and my iphone just shut off and now it won't turn back on. I've tried a new battery. I really just want to try and get photos and notes off of the iphone if it is possible at all?