Problema Solution

the polynomial 3.675v+0.096v^2 is used to estimate the stopping distance in feet for a car whose speed is v miles per hour on flat dry pavement. What is the stopping distance for a car traveling at 70 miles per hour?

Answer provided by our tutors

the stopping distance is a function of the speed v:


d(v) = 3.675v+0.096v^2


we want to find the stopping distance for v = 70 mph.


plug v = 70 mph into d(v) = 3.675v+0.096v^2


d(70) = 3.675*70+0.096*70^2


d(70) = 727.65 mi


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the stopping distance for a car traveling at 70 miles per hour is 727.65 miles.