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The maximum speed (v) that an automobile can travel around a curve of radius r without skidding is given bythe equationV=(5r/2) ^1/2where v is in miles per hour and r is measured in feet. What is the maximum speed a car can travel around a curve with a radius of 40 feet without skidding? The car can travel up to __ miles an hour.

The maximum speed (v) that an automobile can travel around a curve of radius r without-example-1

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Given:

The maximum speed (v) that an automobile can travel around a curve of radius r without skidding is given by the equation:


v=((5r)/(2))^{(1)/(2)}

We will find the maximum speed v when r = 40 feet

so, substitute r = 40


v=((5*40)/(2))^{(1)/(2)}=(100)^{(1)/(2)}=10

So, the answer will be:

The car can travel up to 10 miles per hour.

User Simon Kiely
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