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The formula v = √ 2.3 r models the maximum safe speed, v , in miles per hour, at which a car can travel on a curved road with radius of curvature r , in feet. A highway crew measures the radius of curvature at an exit ramp on a highway as 370 feet. What is the maximum safe speed? FThe formula v = √ 2.3 r models the maximum safe speed, v , in miles per hour, at which a car can travel on a curved road with radius of curvature r , in feet. A highway crew measures the radius of curvature at an exit ramp on a highway as 370 feet. What is the maximum safe speed? F

Answer :

Answer:

562 miles per hour.

Explanation:

As given in the question, the formula for the maximum speed on a curved road is

[tex]v=\sqrt{2.3}[/tex] [tex]r[/tex]

Given value of [tex]r=370[/tex] feet

So the maximum safe speed will be

[tex]v=\sqrt{2.3} \times 370 = 1.52\times 370 = 562.4[/tex] miles per hour.

Rounding off to the nearest whole number we get the maximum safe speed at the curved road is 562 miles per hour.

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