High School

Braking Distance

The distance that a car travels between the time the driver makes the decision to hit the brakes and the time the car actually stops is called the braking distance. For a certain car traveling at \(v\) mi/hr, the braking distance \(d\) (in feet) is given by:

\[ d = v + \frac{v^2}{20} \]

Find the braking distance when \(v\) is 55 mi/hr.

Answer :

Final answer:

The braking distance for a car traveling at 55 mi/hr, using the given formula, is calculated to be 206.25 feet. Braking distance varies depending on several factors including speed, tire and road conditions, and brake responsiveness.

Explanation:

The question asks about the braking distance of a car traveling at 55 mi/hr, the formula for braking distance is d = v + (v²/20). Plugging in the speed of 55 mi/hr into this formula, we get d = 55 + ((55)²/20). This simplifies to d=55+151.25, which gives a total braking distance of 206.25 feet. Braking distance is not constant and depends on various factors such as the speed of the car, tire conditions, road conditions, and the responsiveness of the brakes themselves.

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