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LOOK OO The red car's front bumper is one car-length (which we will define as , and equals the length of each car and is

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LOOK OO The red car's front bumper is one car-length (which we will define as , and equals the length of each car and is one-quarter the length of the truck) behind a blue car's rear bumper, while a truck approaches in the other lane. To the drivers of these vehicles, the separation of the front bumper of the blue car and front bumper of the truck appears to be about twenty car-lengths. All three vehicles are traveling at the speed limit (which we will call .). We will call the maximum acceleration possible for the cars a when speeding up, and b when braking. The driver of the red car is considering passing the blue car. The speed limit of the road is 13.3 5, and the driver of the red car decides to pass. The driver of the blue car is unaware that she is passing, and does not change his speed. If a "car length" is 3.45 meters, find the minimum acceleration (in " ) the red car must have to successfully pass. [provide at least two decimal places]

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