Accident reconstruction experts routinely testify that the perception + reaction time for people is about 1.5 seconds. Perception + reaction is the time it takes from when a person perceives an event that requires action to the time they take that action -- hitting the brakes in this case.
A car going 50 mph is going 73.33 feet per second. So, 73.33 * 1.5 seconds = 110 feet.
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