The figure above is representative of the tracks used in a racing game. The track is 2 dimensional, has uniform width and does not cross over itself (i.e. no “figure 8’s”). A race includes up to 4 drivers completing 3 laps from the Start Line driving clockwise. Cars can drive anywhere on the track and cannot drive off the track.

Using words, diagrams, math formulas etc. provide a concise geometrically based design that addresses the items below. Describe both the what and the how of your design.

  1. Describe how to determine the accurate order of the 4 drivers as the race is in progress
  2. Describe how to determine if a driver is moving forward or backward
  3. Describe how to determine if two cars have collided and what the various consequences would be
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