document.write( "Question 193178: An object that is projected straight downward with initial velocity of v feet per second is at a height from ground \"+h=-16t%5E2-vt%2Bs+\" , where s = initial height in feet, and t = time in seconds. If Bianca is standing on a ledge 46.75 feet above the ground and throws a penny straight down with an initial velocity of 12 feet per second, in how many seconds will it reach the ground? -- I tried as hard as I can to solve this word problem but the answer was not reasonable... please help me, thank you! \n" ); document.write( "
Algebra.Com's Answer #145025 by nerdybill(7384)\"\" \"About 
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An object that is projected straight downward with initial velocity of v feet per second is at a height from ground \"+h=-16t%5E2-vt%2Bs+\" , where s = initial height in feet, and t = time in seconds. If Bianca is standing on a ledge 46.75 feet above the ground and throws a penny straight down with an initial velocity of 12 feet per second, in how many seconds will it reach the ground?
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\n" ); document.write( "\"+h=-16t%5E2-vt%2Bs+\"
\n" ); document.write( "The problem gives you:
\n" ); document.write( "s (initial height) as 46.75 feet
\n" ); document.write( "v (initial velocity) as 12 feet/sec
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\n" ); document.write( "Since they want to know when it will reach the ground -- h (height) would be 0.
\n" ); document.write( "So, set h = 0 and solve for 't':
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\n" ); document.write( "\"+h=-16t%5E2-vt%2Bs+\"
\n" ); document.write( "\"+0=-16t%5E2-12t%2B46.75+\"
\n" ); document.write( "Since we can't factor, use the quadratic equation to solve. Doing so yields:
\n" ); document.write( "t={-2.125, 1.375}
\n" ); document.write( "Throw out the negative solution -- this leaves:
\n" ); document.write( "t = 1.375 seconds
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\n" ); document.write( "Details of quadratic follows:
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"at%5E2%2Bbt%2Bc=0\" (in our case \"-16t%5E2%2B-12t%2B46.75+=+0\") has the following solutons:
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\n" ); document.write( " \"t%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"
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\n" ); document.write( " For these solutions to exist, the discriminant \"b%5E2-4ac\" should not be a negative number.
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\n" ); document.write( " First, we need to compute the discriminant \"b%5E2-4ac\": \"b%5E2-4ac=%28-12%29%5E2-4%2A-16%2A46.75=3136\".
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\n" ); document.write( " Discriminant d=3136 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--12%2B-sqrt%28+3136+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"t%5B1%5D+=+%28-%28-12%29%2Bsqrt%28+3136+%29%29%2F2%5C-16+=+-2.125\"
\n" ); document.write( " \"t%5B2%5D+=+%28-%28-12%29-sqrt%28+3136+%29%29%2F2%5C-16+=+1.375\"
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\n" ); document.write( " Quadratic expression \"-16t%5E2%2B-12t%2B46.75\" can be factored:
\n" ); document.write( " \"-16t%5E2%2B-12t%2B46.75+=+-16%28t--2.125%29%2A%28t-1.375%29\"
\n" ); document.write( " Again, the answer is: -2.125, 1.375.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+-16%2Ax%5E2%2B-12%2Ax%2B46.75+%29\"
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