document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=192033>Question 192033</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The text asks us to solve the following statements using either the \"object dropped\" or \"object thrown\" formulas.\r<BR>\n" );
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document.write( "Given formulas:<BR>\n" );
document.write( "Object dropped <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=-16t%5E2%2Bs ALIGN=MIDDLE  ALT=\"h=-16t%5E2%2Bs\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Object thrown <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=-16t%5E2%2Bvt%2Bs ALIGN=MIDDLE  ALT=\"h=-16t%5E2%2Bvt%2Bs\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "h=height (ft)<BR>\n" );
document.write( "s=initial height (ft)<BR>\n" );
document.write( "t=time in motion<BR>\n" );
document.write( "v=initial velocity (feet/second)\r<BR>\n" );
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document.write( "The statement:<BR>\n" );
document.write( "An acorn falls 45 feet from the top of the tree.  \r<BR>\n" );
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document.write( "This is what I have tried:\r<BR>\n" );
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document.write( "The acorn falls so I used the \"object dropped formula\".  The height (feet) that the acorn fell was 45 feet and the initial height of the acorn was 45 feet.  This is how I wrote that out:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45=-16t%5E2%2B45 ALIGN=MIDDLE  ALT=\"45=-16t%5E2%2B45\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then I attempted to solve for 't'.  <BR>\n" );
document.write( "I subtracted 45 from both sides ending up with:<BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=-16t%5E2 ALIGN=MIDDLE  ALT=\"0=-16t%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I noticed right away that in order to make this true 't' had to be 0.  But if t=0 then that means it took the acorn 0 seconds to fall down from the top of the tree.  Impossible right???\r<BR>\n" );
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document.write( "What am I doing wrong? Please help.  \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #144101 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=144101\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The acorn falls so I used the \"object dropped formula\".  The height (feet) that the acorn fell was 45 feet and the initial height of the acorn was 45 feet.  This is how I wrote that out:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45=-16t%5E2%2B45 ALIGN=MIDDLE  ALT=\"45=-16t%5E2%2B45\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then I attempted to solve for 't'.  <BR>\n" );
document.write( "I subtracted 45 from both sides ending up with:<BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=-16t%5E2 ALIGN=MIDDLE  ALT=\"0=-16t%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I noticed right away that in order to make this true 't' had to be 0.  But if t=0 then that means it took the acorn 0 seconds to fall down from the top of the tree.  Impossible right???\r<BR>\n" );
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document.write( "What am I doing wrong? Please help. <BR>\n" );
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document.write( "You probably want to find the time it takes for the object <BR>\n" );
document.write( "to reach the ground which means it has zero height.<BR>\n" );
document.write( "-16t^2 + 45 = 0<BR>\n" );
document.write( "-16t^2 = -45<BR>\n" );
document.write( "t^2 = 45/16<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "t = sqrt(45/16)<BR>\n" );
document.write( "t = (3/4)sqrt(5) seconds<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " \r<BR>\n" );
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