Two cars pull up to a metered onramp, one waiting 3 feet behind the other. When the light turns green, both cars are allowed to go through. The first car accelerates away at a somewhat leisurely 8 feet/second/second. One second later, the second car starts accelerating at the same speed. When each car reaches 60 mph, it stops accelerating and stays at that constant speed. By the time both cars have stopped accelerating, how much distance separates them?
What if both cars accelerate twice as quickly?
How fast would the rear car have to accelerate to keep exactly 3 feet between the cars when they have reached full speed? Is it even possible without the rear car having to decelerate?
Why do people feel the need to maintain the same distance between cars, regardless of speed?
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