document.write( "Question 1085979: A light air craft is 60 km north east from OR Tambo International Airport and it flies north for six hours at a velocity of 96 km/h, Determine its position(displacement) with reference to OR Tambo I. Magnitude and direction? \n" ); document.write( "

Algebra.Com's Answer #700312 by Fombitz(32388) $\"\"$ $\"About$

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So for the 60km NE, it traveled 60(sqrt(2)/2) north and east.
\n" ); document.write( "For 6 hours, it traveled $\"6%2A96=576\"$ $\"km\"$ north.
\n" ); document.write( "So all together it traveled,
\n" ); document.write( "East : $\"E=30sqrt%282%29\"$ $\"km\"$
\n" ); document.write( "North: $\"N=30sqrt%282%29%2B576\"$ $\"km\"$
\n" ); document.write( "The magnitude would be the square root of the sum of the squares of E and N,
\n" ); document.write( " $\"M=sqrt%28E%5E2%2BN%5E2%29=sqrt%281800%2B576%5E2%29\"$
\n" ); document.write( "and the angle,
\n" ); document.write( " $\"tan%28theta%29=N%2FE=%2830sqrt%282%29%2B576%29%2F%2830sqrt%282%29%29\"$
\n" ); document.write( "where 0 degrees is due East.
\n" ); document.write( "Work those two out for the answer.
\n" ); document.write( " \n" ); document.write( "

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