document.write( "Question 345461: A ball falls from the top of a roof 320 feet above the ground. The formula h = -16t2 + 16t + 320 described the height of the ball above the ground, h, in feet, t seconds after the fall begins. How long will it take the ball to strike the ground? \n" ); document.write( "
Algebra.Com's Answer #247054 by josmiceli(19441)\"\" \"About 
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When the ball hits the ground, \"h+=+0\", so
\n" ); document.write( "\"+h+=+-16t2+%2B+16t+%2B+320+\"
\n" ); document.write( "\"+0+=+-16t2+%2B+16t+%2B+320+\"
\n" ); document.write( "Divide both sies by \"16\"
\n" ); document.write( "\"-t%5E2+%2B+t+%2B+20+=+0\"
\n" ); document.write( "Use quadratic equation to find \"t\"
\n" ); document.write( "\"t+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"a+=+-1\"
\n" ); document.write( "\"b+=+1\"
\n" ); document.write( "\"c+=+20\"
\n" ); document.write( "\"t+=+%28-1+%2B-+sqrt%28+1%5E2-4%2A%28-1%29%2A20+%29%29%2F%282%2A%28-1%29%29+\"
\n" ); document.write( "\"t+=+%28-1+%2B-+sqrt%28+1+%2B+80+%29%29%2F%28-2%29+\"
\n" ); document.write( "\"t+=+%28-1+%2B-+sqrt%28+81+%29%29%2F%28-2%29+\"
\n" ); document.write( "Take the negative square root in order
\n" ); document.write( "to get a positive answer:
\n" ); document.write( "\"t+=+%28-1+-9%29%2F%28-2%29\"
\n" ); document.write( "\"t+=+10%2F2\"
\n" ); document.write( "\"t+=+5\" sec
\n" ); document.write( "The ball will hit the ground in 5 sec
\n" ); document.write( "check answer:
\n" ); document.write( "\"-t%5E2+%2B+t+%2B+20+=+0\"
\n" ); document.write( "\"-5%5E2+%2B+5+%2B+20+=+0\"
\n" ); document.write( "\"-25+%2B+5+%2B+20+=+0\"
\n" ); document.write( "\"0+=+0\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );