Sailboat Races The Speed that a sailboat is capable of sailing is determined by three factors: its length L, the surface area A of its sails, and its displacement V (the volume of water it displaces).
In general, a sailboat is capable of greater speed if it is longer, has a larger sail area, or displaces less water. To make sailing races fair, only boats in the same “class” can qualify if
where L is measured in feet, A in square feet, and V in cubic feet. Use this inequality to answer the following questions.
(a) A sailboat has length , sail area , and displacement . Does this boat qualify for the race?
(b) A sailboat has length and displaces . What is the largest possible sail area that could be used and still allow the boat to qualify for this race?
If the boat qualifies for the race.
is the condition for a boat to qualify for a race.
Substituting the given conditions,
The largest possible area.
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