document.write( "Question 687424: An aircraft is flying horizontally at constant speed v at 1000 ft height.
\n" ); document.write( "When it is directly overhead a missile is fired vertically at constant speed 2v.
\n" ); document.write( "The missile constantly heads directly towards the aircraft.
\n" ); document.write( "How far will the missile have travelled when it hits the aircraft?
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Algebra.Com's Answer #425279 by ankor@dixie-net.com(22740)\"\" \"About 
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An aircraft is flying horizontally at constant speed v at 1000 ft height.
\n" ); document.write( "When it is directly overhead a missile is fired vertically at constant speed 2v.
\n" ); document.write( "The missile constantly heads directly towards the aircraft.
\n" ); document.write( "How far will the missile have traveled when it hits the aircraft?
\n" ); document.write( ":
\n" ); document.write( "Let t = travel time of the plane and the missile from that point
\n" ); document.write( "then
\n" ); document.write( "vt = distance traveled by the plane
\n" ); document.write( "2vt = distance traveled by the missile
\n" ); document.write( ":
\n" ); document.write( "The missile will travel the hypotenuse of the right triangle formed by legs of
\n" ); document.write( "1000 ft and vt
\n" ); document.write( ":
\n" ); document.write( "(2vt)^2 = (vt)^2 + 1000^2
\n" ); document.write( "4v^2t^2 = v^2t^2 = 10^6
\n" ); document.write( "combine like terms
\n" ); document.write( "4v^2t^2 - v^2t^2 = 10^6
\n" ); document.write( "3v^2t^2 = 10^6
\n" ); document.write( "Find the square root of both sides
\n" ); document.write( "\"sqrt%283v%5E2t%5E2%29\" = \"sqrt%2810%5E6%29\"
\n" ); document.write( "\"vt%2Asqrt%283%29\" = 10^3
\n" ); document.write( "vt = \"1000%2Fsqrt%283%29\", the distance traveled by the plane
\n" ); document.write( "then
\n" ); document.write( "\"2%281000%2Fsqrt%283%29%29\" = 1154.7 ft distance traveled by the missle
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