document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=97604>Question 97604</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Science and medicine. The equation h=-16t^2+112t gives the height of an<BR>\n" );
document.write( "arrow, shot upward from the ground with an initial velocity of 112 ft/s, where t is the time after the arrow leaves the ground. Find the time it takes for the arrow to reach a height of 180 ft.Solve to the nearest thousandth.<BR>\n" );
document.write( " Please help me. I need to show all of the work and I am stumped. I have a horrible problem with word problems.\r<BR>\n" );
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document.write( "Thank you very much for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #71012 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=71012\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well, you have given the of height (h) as a function of time (t) as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29+=+-16t%5E2%2Bv%5B0%5Dt%2Bh%5B0%5D ALIGN=MIDDLE  ALT=\"h%28t%29+=+-16t%5E2%2Bv%5B0%5Dt%2Bh%5B0%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5B0%5D+=+112 ALIGN=MIDDLE  ALT=\"v%5B0%5D+=+112\"   DISABLED_style= \"max-width:90%; height:auto;\" >ft/sec, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5B0%5D+=+0 ALIGN=MIDDLE  ALT=\"h%5B0%5D+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "So what you are asking for is at what time, t, will h = 180 ft? Right?<BR>\n" );
document.write( "Substituting h = 180, you can solve for t.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180+=+-16t%5E2%2B112t ALIGN=MIDDLE  ALT=\"180+=+-16t%5E2%2B112t\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 180 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-16t%5E2%2B112t-180+=+0 ALIGN=MIDDLE  ALT=\"-16t%5E2%2B112t-180+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify this by factoring a -4.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%284t%5E2-28t%2B45%29+=+0 ALIGN=MIDDLE  ALT=\"-4%284t%5E2-28t%2B45%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor trinomial in the parentheses.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%282t-5%29%282t-9%29+=+0 ALIGN=MIDDLE  ALT=\"-4%282t-5%29%282t-9%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the zero products principle.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2t-5+=+0 ALIGN=MIDDLE  ALT=\"2t-5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2t-9+=+0 ALIGN=MIDDLE  ALT=\"2t-9+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2t+=+5 ALIGN=MIDDLE  ALT=\"2t+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2t+=+9 ALIGN=MIDDLE  ALT=\"2t+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+2.5 ALIGN=MIDDLE  ALT=\"t+=+2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+4.5 ALIGN=MIDDLE  ALT=\"t+=+4.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The answer to the question...\"At what time will the arrow reach a height of 180 ft?\"<BR>\n" );
document.write( "It will reach a height of 180 ft in 2.5 seconds on the way up and again at 4.5 seconds on the way down.<BR>\n" );
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