document.write( "Question 343420: (Modeling) Airplane Landing Speed\r
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document.write( "To determine the appropriate landing speed of a small airplane, the formula
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document.write( "D= .1s^2 - 3s + 22\r
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document.write( "is used, where s is the intitial landing speed in feet per second and D is the length of the runway in feet. If the landing speed is too fast, the pilot may run out of runway; if the speed is too slow, the plane may stall. If the runway is 800 ft long, what is the appropriate landing speed? Round to the nearest tenth. \n" );
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Algebra.Com's Answer #245742 by stanbon(75887) ![]() You can put this solution on YOUR website! Airplane Landing Speed \n" ); document.write( "To determine the appropriate landing speed of a small airplane, the formula \n" ); document.write( "D= .1s^2 - 3s + 22 \n" ); document.write( "is used, where s is the intitial landing speed in feet per second and D is the length of the runway in feet. If the landing speed is too fast, the pilot may run out of runway; if the speed is too slow, the plane may stall. If the runway is 800 ft long, what is the appropriate landing speed? Round to the nearest tenth. \n" ); document.write( "--- \n" ); document.write( "Solve::: \n" ); document.write( "0.1s^2 - 3s + 22 = 800 \n" ); document.write( "--- \n" ); document.write( "Rearrange: \n" ); document.write( "0.1s^2 - 3s - 778 = 0 \n" ); document.write( "--- \n" ); document.write( "Quadratic Formula: \n" ); document.write( "s = [3 +- sqrt(9 - 4*0.1*-778)]/(0.2) \n" ); document.write( "--- \n" ); document.write( "s = [3 +- sqrt(9 + 320.2)]/0.2 \n" ); document.write( "--- \n" ); document.write( "Positive Solution: \n" ); document.write( "s = [21.14]/0.2 \n" ); document.write( "--- \n" ); document.write( "s = 105.71 mph \n" ); document.write( "==================== \n" ); document.write( "Note: My calculator says the answer is 104.47 mph \n" ); document.write( "Check it out. \n" ); document.write( "==================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |