Real-world Problem - Speeding Ticket

Write a complete solution to the following problem using the GOAL problem-solving protocol.  Carefully consider any assumptions you make in solving the problem, along with an explanation of how the answer would vary under different conditions.  Clearly specify any estimations you make, and be sure your answer will agree with anyone else who correctly analyzes the same problem.

While visiting a friend in San Francisco, you decide to drive around the city.  You turn a corner and find yourself going down a steep hill.  Suddenly a small boy runs out on the street to chase a ball.  You slam on the brakes and skid to a stop.  The boy calmly walks away, but a police officer watching from the sidewalk comes over and gives you a ticket for speeding.  You are still shaking from the experience when the officer points out that the speed limit on this street is 25 MPH. After you recover your wits, you examine the situation more closely. You estimate that the street is inclined at 20 degrees, and the length of the skid mark is about 50 feet. The owner's manual for your car lists a net vehicle weight of 3450 lbs., and you weigh 140 lbs. Should you fight the ticket in court?