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You are on a road trip with your grandmother and your friend as you each drive your own vehicle at 60 mph in the curb

You are on a road trip with your grandmother and your friend as you each drive your own vehicle at 60 mph in the curb lane of a freeway with a 2.5% upgrade, where the exit ramps are designed for 20 mph. There is a sign to alert you to the exit with 6- in. letters and drivers with 20/20 vision can read signs at 60 ft away per inch of letter height. What is the minimum distance away from the exit that the sign has to be placed for all three of you to slow down enough to safely exit? a) You have a better than average reaction time of 1.5 seconds, but have poor 20/40 vision and a clunker vehicle with a deceleration rate of 8 ft/sec2 b) Grandma has a slower than average reaction time of 2.5 seconds and really poor 20/60 vision, but has a nice new car with a deceleration rate of 15 ft/sec2 c) Your friend has 20/20 vision and an average car with a deceleration rate of 11.2 ft/sec2. However, per usual, they were distracted and took 4.5 seconds to react.

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