document.write( "Question 343420: (Modeling) Airplane Landing Speed\r
\n" ); document.write( "\n" ); document.write( "To determine the appropriate landing speed of a small airplane, the formula
\n" ); document.write( "D= .1s^2 - 3s + 22\r
\n" ); document.write( "\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.
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Algebra.Com's Answer #245742 by stanbon(75887)\"\" \"About 
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.
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\n" ); document.write( "Solve:::
\n" ); document.write( "0.1s^2 - 3s + 22 = 800
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\n" ); document.write( "Rearrange:
\n" ); document.write( "0.1s^2 - 3s - 778 = 0
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\n" ); document.write( "Quadratic Formula:
\n" ); document.write( "s = [3 +- sqrt(9 - 4*0.1*-778)]/(0.2)
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\n" ); document.write( "s = [3 +- sqrt(9 + 320.2)]/0.2
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\n" ); document.write( "Positive Solution:
\n" ); document.write( "s = [21.14]/0.2
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\n" ); document.write( "s = 105.71 mph
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\n" ); document.write( "Note: My calculator says the answer is 104.47 mph
\n" ); document.write( "Check it out.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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