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Imagine your dream car is a super-fast French car. Experiments have shown that on smooth, dry roads, the relationship between the breaking distance (d) and speed (s) is given by d(s) = 0.05s. Speed is given in miles per hour and the distance is in feet. 5. How many feet should you leave between you and the car in front of you if you are driving the super-fast French car 70 mph?

User Flossfan
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To determine the distance you should leave between you and the car in front of you when driving the super-fast French car at 70 mph, we can use the given relationship between braking distance (d) and speed (s).

The relationship provided is d(s) = 0.05s, where s is the speed in miles per hour (mph) and d is the braking distance in feet.

Substituting the given speed, s = 70 mph, into the equation, we have:

d(70) = 0.05 * 70

d(70) = 3.5

Therefore, if you are driving the super-fast French car at 70 mph, you should leave a distance of 3.5 feet between you and the car in front of you.