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A car is traveling at sea level at 88 mi/hr on a 4% upgrade before the driver sees a fallen tree in the roadway 150 ft away. The coefficient of road adhesion is .8. The car weighs 2500 lb, has a drag coefficient of .35, a frontal area of 16 ft^2 and a coefficient of rolling friction approximated as .017 for all speed conditions. The car has an antilock braking system that gives it a braking efficiency of 100%. If the driver first applies the brakes 150 ft from the tree, at what speed will the car be traveling when it reaches the tree? Include the effect of aerodynamic resistance.
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