document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=49728>Question 49728</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072867256/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Science and Medicine:  the equation h=16r^2+112t gives the height of an arrow shot upward from the ground with an initial velocity of 112f/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 180f </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #33199 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=33199\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I think that you have omitted a negative sign from the first term ot the equation: The general form for the function describing the height (as a funtion of time, t) of an object propelled upwards is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29+=+-16t%5E2%2BVot%2BHo ALIGN=MIDDLE  ALT=\"h%28t%29+=+-16t%5E2%2BVot%2BHo\"   DISABLED_style= \"max-width:90%; height:auto;\" > where: Vo is the initial upwards velocity and Ho is the initial height.<BR>\n" );
document.write( "In your problem, Vo = 112 ft/sec and Ho = 0 (Ground-level), so your equation should be:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28t%29+=+-16t%5E2%2B112t ALIGN=MIDDLE  ALT=\"h%28t%29+=+-16t%5E2%2B112t\"   DISABLED_style= \"max-width:90%; height:auto;\" > Set h(t) = 180 ft. and 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 of the equation.<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 by factoring out 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;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4t%5E2-28t%2B45+=+0 ALIGN=MIDDLE  ALT=\"4t%5E2-28t%2B45+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve by factoring.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282t-5%29%282t-9%29+=+0 ALIGN=MIDDLE  ALT=\"%282t-5%29%282t-9%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the zero product 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;\" > and/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;\" ><BR>\n" );
document.write( "If <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;\" > then <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;\" > and <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;\" ><BR>\n" );
document.write( "If <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 <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;\" > and <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;\" >\r<BR>\n" );
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document.write( "The arrow reaches a height of 180 ft in 2.5 seconds on its way up and it passes the 180 foot-level on its way down in 4.5 seconds.\r<BR>\n" );
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