A driver traveling down a $4\%$ grade collides with a roadside object in rainy conditions, and is issued ticket for driving too fast for conditions. The posted speed limit is $65m\frac{i}{h}.$ The accident investigation team determined the following: The vehicle was traveling $40m\frac{i}{h}$ when it struck the object, braking skid marks started $205ft$ before the struck object, the pavement is in good condition, and the braking efficiency of the vehicle was $93\%.$ Using theoretical stopping distance, assuming aerodynamic resistance is negligible, and with the coefficient rolling resistance approximated as $0\mathrm{.}015,$ should the driver appeal the ticket? Why or why not?