SOLUTION: The formula D=0.054x^2+0.058x describes the distance in feet D that it takes to stop a vehicle traveling x miles per hour on dry pavement. A. How fast can you drive if you wish

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Question 738681: The formula D=0.054x^2+0.058x describes the distance in feet D that it takes to stop a vehicle traveling x miles per hour on dry pavement.
A. How fast can you drive if you wish to be able to stop your car within 65 feet?
B. On black ice, a trucks stopping distance is 2 times its stopping distance on dry pavement. A truck traveling 20 miles per hour applies the brakes, on black ice, at a distance of 65 feet in front of a rubber traffic cone. Will the truck hit the cone?
C. A motorboat heads upstream a distance of 24 miles on a river with current running 3 miles per hour. The trip up and back takes 6 hours. Assuming the motorboat maintained a constant speed relative to the water, what was it's speed?

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




If you want to be able to stop in 65 feet, the question becomes "what value do I need so that .



which is to say:



Just solve the quadratic using the quadratic formula. Of course, you must discard the negative root. Negative speed in this context is absurd.

John

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