document.write( "Question 327862: Throwing a wrench. An angry construction worker throws
\n" ); document.write( "his wrench downward from a height of 128 feet with an
\n" ); document.write( "initial velocity of 32 feet per second. The height of the
\n" ); document.write( "wrench above the ground after t seconds is given by
\n" ); document.write( " S(t)=-16t^2-32t+128
\n" ); document.write( "

Algebra.Com's Answer #234785 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
\"S%28t%29=-16t%5E2-32t%2B128\"
\n" ); document.write( "When the wrench hits the ground, \"S%28t%29+=+0\"
\n" ); document.write( "since the height is zero.
\n" ); document.write( "\"0+=-16t%5E2-32t%2B128\"
\n" ); document.write( "The minus in front of the squared term tells
\n" ); document.write( "me the parabola solution has a maximum peak
\n" ); document.write( "Divide both sides by \"16\"
\n" ); document.write( "\"-t%5E2+-+2t+%2B+8+=+0\"
\n" ); document.write( "\"t%5E2+%2B+2t+-+8+=+0\"
\n" ); document.write( "Complete the square
\n" ); document.write( "\"t%5E2+%2B+2t+%2B+%28-2%2F2%29%5E2+=+8++%2B+%28-2%2F2%29%5E2\"
\n" ); document.write( "\"+%28t+%2B+1%29%5E2+=+8+%2B+1\"
\n" ); document.write( "\"t+%2B+1+=+3\"
\n" ); document.write( "\"t+=+2\" sec
\n" ); document.write( "The wrench will hit the ground in 2 seconds
\n" ); document.write( "
\n" );