Do you have to have extensive injuries to sue a person who hit you (auto accident)?

A woman sped through a light, on her cell phone, while I was turning. She totaled out my Suburban with her Sonota (how fast she was going). Me, my sister, and my 3 year old daughter suffered cervical sprains. I have had migrains since, and my 3 year old complains about her neck and knees daily, and she cries when I put her in her car seat by the door. She was seated next to the door during the wreck. My 1 year old has been crying more frequently since the accident. I have no clue how this may affect them in the future.