Respuesta :

Problem 4)

We want to know the value of r when the speed (V) is 55 mph. So we'll plug in V = 55 and solve for r.

[tex]V = \sqrt{2.5r}[/tex]

[tex]55 = \sqrt{2.5r}[/tex]

[tex](55)^2 = \left(\sqrt{2.5r}\right)^2[/tex]

[tex]3025 = 2.5r[/tex]

[tex]\frac{3025}{2.5} = \frac{2.5r}{2.5}[/tex]

[tex]1210 = r[/tex]

[tex]r = 1210[/tex]

Therefore the radius of the curve is 1210 feet

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