Car wreck? Need some help!?

-Driving down a hill, going the speed limit and a car jumped in front of the car that was in front of me and slammed on breaks, then the car in front of me slammed on breaks, then I slammed on breaks but my car still went into her car. We both told the police the same thing. No tickets was issued and he took both of our insurance information. I only have liability insurance. This wreck happened about a hour ago. I just called out of work and came home. Going to the hospital in a few because my neck hurts.



Who is at fault? Would my insurance have to pay since I hit the back of her car even though it wasn't my fault?



She only have a few scratches on the back of her car. The hood of my car is bent up a little bit. Both cars are still drivablefault go to the car that jump out in font of you and you can stop on a dime because you was going down hill and insurance will tale you go F your shelf like all of them do
with only liability insurance it might cover other cars damage but it won't cover anything on yours. technically if you hit her from behind you were traveling too close and it was your fault