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The answer to that is: "I did not feel that I could safely stop in the distance that I had before entering the intersection." The officer can not determine how you feel in your car at the time and if handled properly, you should be able to get it dismissed.
Just my opinion. You might also want to try to talk to the judge or prosecutor prior to the court date, that sometimes helps. >>
I would go with this too... prolly will work.
