document.write( "Question 1053844: There's a square with ABCD(clockwise). One side is 67m long. Object 1 starts moving from point A towards point B with a speed of 5.9m/s(unchanging). Object 2 remains at point D. How fast(m/s) does the distance DX between the two objects change, when X is 62m from point A? \n" ); document.write( "
Algebra.Com's Answer #669034 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
let D be the length of the diagonal. l be length and w be width, then
\n" ); document.write( ":
\n" ); document.write( "By Pythagoras
\n" ); document.write( ":
\n" ); document.write( "D^2 = l^2 + w^2
\n" ); document.write( ":
\n" ); document.write( "differentiate implicitly
\n" ); document.write( ":
\n" ); document.write( "2D*(dl/dt) = 2l*(dl/dt) + 2w*(dw/dt)
\n" ); document.write( ":
\n" ); document.write( "note that dw/dt is 0, that is, does not change
\n" ); document.write( ":
\n" ); document.write( "D *(dD/dt) = 2l*(dl/dt)
\n" ); document.write( ":
\n" ); document.write( "dD/dt = 2(62)*(5.9) / (62^2 + 67^2)^(1/2) = 8.01 m/s
\n" ); document.write( ":
\n" ); document.write( "*****************************************************************
\n" ); document.write( "Distance from object 1 to object2 is changing at 8.01 m/s when
\n" ); document.write( "object 1 is 62 m from Point A
\n" ); document.write( "*****************************************************************
\n" ); document.write( ":\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );