A small truck is to be driven down a 4% grade at 70mi/hr. The coefficient of roa

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A small truck is to be driven down a 4% grade at 70mi/hr. The coefficient of road adhesion is 0.95, and it is known that the baking efficiency is 80% when the truck is empty and decreases by one percentage point for every 100 lb of cargo added. Ignoring aerodynamic resistance, if the driver wants the truck to be able to achieve a minimum theoretical stopping distance of 275 ft from the point of brake application, what is the maximum amount of cargo (in pounds) that can be carried. This is from the Book, "Principles of Highway Engineering and Traffic Analysis" 4th edition by Fred L. Mannering. I would really appreciate the help. Thank you.

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