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The speed s (in miles per hour of a car driving on wet asphalt can be given by s = 3 square root d, where d is the stopping distance (in feet). What is the approximate stopping distance of a car traveling 80 miles per hour? Round your answer to the nearest hundredth.

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Answer:

d = 711 miles

Step-by-step explanation:

The speed s of the car is given by :

[tex]s=3\sqrt{d}[/tex] ...(1)

Where

d is the stopping distance

We need to find the stopping distance of a car travelling at 80 mph.

Rearranging equation (1) for d.

[tex]s^2=9d\\\\d=\dfrac{s^2}{9}\\\\d=\dfrac{80^2}{9}\\\\d=711.1\ miles[/tex]

or

d = 711 miles

So, the required stopping distance is 711 miles.

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