Problem

Grand Prix Race. Driver A had been leading archrival B for a while by a steady 3 mil...

Grand Prix Race. Driver A had been leading archrival B for a while by a steady 3 miles. Only 2 miles from the finish, driver A ran out of gas and decelerated thereafter at a rate proportional to the square of his remaining speed. One mile later, driver A’s speed was exactly halved. If driver B’s speed remained constant, who won the race?

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Solutions For Problems in Chapter 2.2
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