document.write( "Question 252815: How do u find the resultant vector's magnitude as well as anlge using 5.0 m/s, 45 deg + 2.0 m/s, 180 deg \r
\n" ); document.write( "\n" ); document.write( "the ansner is = 3.85m/s, 66.5 deg but i would like to know how to do it and the formula you have used \n" ); document.write( "

Algebra.Com's Answer #184914 by Alan3354(69443) $\"\"$ $\"About$

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How do u find the resultant vector's magnitude as well as anlge using 5.0 m/s, 45 deg + 2.0 m/s, 180 deg
\n" ); document.write( "the ansner is = 3.85m/s, 66.5 deg but i would like to know how to do it and the formula you have used
\n" ); document.write( "------------------------------
\n" ); document.write( "Resolve the 2 vectors into x and y components: i = x dir, j = y dir
\n" ); document.write( "5.0 m/s, 45 deg --> 5*sin(45)i +5*cos(45)j
\n" ); document.write( "2.0 m/s, 180 deg --> -2i
\n" ); document.write( "Add the components
\n" ); document.write( "= 1.5355i + 3.5535j (the resultant vector)
\n" ); document.write( "Magnitude = sqrt(i^2 + j^2) = sqrt(2.3579 + 12.5) = 3.85 m/sec
\n" ); document.write( "direction = arctan(j/i) = arctan(2.3025)
\n" ); document.write( "direction = 66.5 degs
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\n" ); document.write( "There's a better method, if you know vectors. \n" ); document.write( "

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