Fuck Cars
A place to discuss problems of car centric infrastructure or how it hurts us all. Let's explore the bad world of Cars!
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A 65mph rural highway may have a 60 ft ROW, making it 23'9" from the trees to the middle of the near lane (30 feet to the center minus 6'3" for a standard 12'6"lane).
A white-tail deer can sprint 35mph, which comes out to just over 50 feet per second. So you have half a second between the trees.
A professional driver on a closed course with new tires and a dry road can control a car braking car at about 32 fpsps (1g). Clearly you're a perfect driver from what you say. Let's also assume you have an absolutely perfect reaction time of zero.
So assuming you have superhuman reaction times, the skills of a professional, and all other perfect conditions... you can certainly avoid hitting the deer - so long as you're driving under 9 mph.