Yes...I was in no way suggesting that you commit insurance fraud. IF, you were rear ended at any speed your body would have suffered some type of impact, belt to shoulder, arms to wheel, head/neck to headrest (if you have them, I didn't in my 68) -- if any of this activity that clearly was not your fault has any impact on your short term or long term health, loss of work, etc. Do the right thing and go get checked out by a doctor. If you have any bills associated with a doctor visit, prescriptions for pain relievers, etc...this will and should be covered by the insurance company.
--Ben