Question

The formula v = √2.5r 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 r, in feet. A highway crew measures the radius of curvature at an exit ramp on a highway as 380 feet. What is the maximum safe speed?

Answer 1

The maximum safe speed of the car is 30.82 m/s.

Step-by-step explanation:

It is given that,

The formula that 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 r, is in feet is given by :

`v=√(2.5\ r)`.........(1)

A highway crew measures the radius of curvature at an exit ramp on a highway as 380 feet, r = 380 feet

Put the value of r in equation (1) as :

`v=√(2.5\ * 380)`

v = 30.82 m/s

So, the maximum safe speed of the car is 30.82 m/s. Hence, this is the required solution.