Answer :
Final answer:
The braking distance of a car after the brakes have been applied varies as the square of the car's speed. This relationship can be represented by a variation function, d = kv².
Explanation:
The braking distance d of a car after the brakes have been applied directly varies as the square of the car's speed. This relationship can be represented by a variation function. Let d be the braking distance and v be the car's speed. We can write the variation function as d = kv², where k is a constant. For example, if the car is traveling at 60 mph (26.8224 m/s), and the braking distance is 150 feet (45.72 m), we can substitute these values into the variation function to find the value of k. Using the equation, we can calculate k as k = d / v². Plugging in the values, we get k = 45.72 / (26.8224)² = 0.0632.
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