Suppose that a woman driving a Mercedes zooms out of a darkened tunnel at 33 m/s. She is momentarily blinded by the sunshine. When she recovers, she sees that she is fast overtaking a bus ahead in her lane moving at the slower speed of 16 m/s. She hits the brakes as fast as she can but her reaction time is 0.3 s.
If she can decelerate at 2.1 m/s2, what is the minimum distance between the driver and the bus when she first sees it so that they do not collide?
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