Driving on the Autobahn in Germany, you have to brake suddenly. Let’s assume that the stopping distance of a car varies directly as the square of the velocity of car when the brakes are applied. A car moving at 85 mph can stop in 367 feet. a. Write an equation that relates the stopping distance to the velocity. b. What is the stopping distance of your car if you were moving at 95 mph?

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The German autobahns are the nationally coordinated motorway system in Germany and
have no general speed limit, but the advisory speed limit is 81 mph.
Driving on the Autobahn in Germany, you have to brake suddenly. Let’s assume that the
stopping distance of a car varies directly as the square of the velocity of car when the brakes
are applied. A car moving at 85 mph can stop in 367 feet.
a. Write an equation that relates the stopping distance to the velocity.
b. What is the stopping distance of your car if you were moving at 95 mph?

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