Solve the problem.
-The formula $\mathrm { v } = \sqrt { 2.5 \mathrm { r } }$ can be used to estimate the maximum safe velocity $\mathrm { v }$, in miles per hour, at which a car can travel along a curved road with a radius of curvature $r$, in feet. To the nearest whole number, find the radius of curvature if the maximum safe velocity is 35 miles per hour.
A) $490 \mathrm { ft }$
B) $3063 \mathrm { ft }$
C) $196 \mathrm { ft }$
D) $1225 \mathrm { ft }$

Question

Quizplus · Accepted Answer

Given $v = 35$ mph, we solve for $r$ using $v = \sqrt{2.5r}$. Squaring both sides gives $v^2 = 2.5r$. Substituting $v = 35$, we get $35^2 = 2.5r$. Solving for $r$ gives $r = 490$ ft.

Solve the Problem v=2.5r\mathrm { v } = \sqrt { 2.5 \mathrm { r } }v=2.5r​

Solve the Problem $\mathrm { v } = \sqrt { 2.5 \mathrm { r } }$