The stopping distance d of a car after the brakes are applied directly as the square of the speed r. If a car traveling 80mph can stop in 360ft, how many feet will it take the same car to stop when it is traveling 90mph
d = (90/80)^2 * 360ft = 456 Ft.
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To find out how many feet it will take for the car to stop when it is traveling at 90mph, we need to use the given information about the relationship between speed and stopping distance.
According to the statement, stopping distance (d) is directly proportional to the square of the speed (r). This can be expressed as a mathematical equation:
d = k * r^2
where k is a constant of proportionality.
To find the value of k, we can use the information given about the car traveling at 80mph. We know that when traveling at 80mph, the stopping distance is 360ft. So, we can plug these values into the equation and solve for k:
360 = k * 80^2
Simplifying the equation, we get:
360 = k * 6400
To find k, divide both sides of the equation by 6400:
k = 360 / 6400
k = 0.05625
Now that we have the value of k, we can use it to find the stopping distance when the car is traveling at 90mph.
d = k * 90^2
Substituting the value of k into the equation and simplifying, we get:
d = 0.05625 * 8100
d = 456.75
Therefore, it will take the same car approximately 456.75 feet to stop when it is traveling at 90mph.