document.write( "Question 1054872: A gun fires a bullet almost straight up from the edge of a 100-foot cliff. If the bullet leaves the gun with a speed of 396 feet per second, its height at time t is given by h(t)=-16t2+396t+100, measured from the ground below the cliff.\r
\n" ); document.write( "\n" ); document.write( "When will the bullet land on the ground below the cliff? (Hint: What is its height when it lands? Remember that we are measuring from the ground below, not from the cliff.)
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Algebra.Com's Answer #670068 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
The bullet will hit the ground, which is
\n" ); document.write( "\"+100+\" ft below the cliff ) when \"+h%28t%29+=+0+\"
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\n" ); document.write( "\"+h%28t%29+=+-16t%5E2+%2B+396t+%2B+100+\"
\n" ); document.write( "\"+0+=+-16t%5E2+%2B+396t+%2B+100+\"
\n" ); document.write( "\"+-4t%5E2+%2B+99t+%2B+25+=+0+\"
\n" ); document.write( "Use quadratic formula
\n" ); document.write( "\"+t+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"
\n" ); document.write( "\"+a+=+-4+\"
\n" ); document.write( "\"+b+=+99+\"
\n" ); document.write( "\"+c+=+25+\"
\n" ); document.write( "\"+t+=+%28-99+%2B-+sqrt%28+99%5E2+-+4%2A%28-4%29%2A25+%29%29+%2F+%282%2A%28-4%29%29+\"
\n" ); document.write( "\"+t+=+%28-99+%2B-+sqrt%28+9801+%2B+400+%29%29+%2F+%28-8%29+\"
\n" ); document.write( "\"+t+=+%28-99+%2B-+sqrt%28+10201+%29%29+%2F+%28-8%29+\"
\n" ); document.write( "\"+t+=+%28-99+-+101%29+%2F+%28-8%29+\"
\n" ); document.write( "\"+t+=+%28+-200+%29+%2F+%28-8%29+\"
\n" ); document.write( "\"+t+=+25+\"
\n" ); document.write( "The bullet hits the ground in 25 sec
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\n" ); document.write( "check:
\n" ); document.write( "\"+-4t%5E2+%2B+99t+%2B+25+=+0+\"
\n" ); document.write( "\"+-4%2A25%5E2+%2B+99%2A25+%2B+25+=+0+\"
\n" ); document.write( "\"+-2500+%2B+2475+%2B+25+=+0+\"
\n" ); document.write( "\"+-2500+%2B+2500+=+0+\"
\n" ); document.write( "\"+0+=+0+\"
\n" ); document.write( "OK
\n" ); document.write( "---------------------------------
\n" ); document.write( "Here's the plot. Note that it starts at \"+h%280%29+=+100+\"
\n" ); document.write( "as it should
\n" ); document.write( "\"+graph%28+500%2C+500%2C+-5%2C+30%2C+-300%2C+3000%2C+-16x%5E2+%2B+396x+%2B+100+%29+\"\r
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