document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=439691>Question 439691</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The height of a ball launched from the top of a hill, where t is time, is (5t-3)(6-t)=h. If h=0, when the ball hits the ground, how long does it take for the ball to hit the ground? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #303861 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=303861\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Your function makes no sense at all in the physical world.\r<BR>\n" );
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document.write( "Solving it for t when h = 0 yields 3/5 seconds and 6 seconds.  How can something launched from the top of a hill reach 0 height twice?\r<BR>\n" );
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document.write( "Furthermore, if you multiply the two binomials you get \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ -5t^2\ +\ 33t\ -\ 18\">\r<BR>\n" );
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document.write( "Though you failed to mention what units the height is measured in.\r<BR>\n" );
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document.write( "The function for the height of a projectile launched near the surface of any celestial body is given by:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ h(t)\ =\ -\frac{1}{2}g_it^2\ +\ v_ot\ +\ h_o\">\r<BR>\n" );
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document.write( "Where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large g_i\"> is the acceleration due to gravity of the selected celestial body, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 32\ ft/sec^2\"> or <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 9.8\ m/sec^2\">, in the case of Earth, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large v_o\"> is the initial velocity, and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large h_o\"> is the initial height.  \r<BR>\n" );
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document.write( "If you assume that you are using the mks system, then your gravitational acceleration, assuming you took very inappropriate roundoff liberties would allow for being on Earth.  I don't know where you are if you are using fps.\r<BR>\n" );
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document.write( "But the problem is the anomaly caused by the fact that you are claiming to have launched from the top of a hill, but your initial height is a negative number.  Granted, I am only 62 years old, so my experience is somewhat limited, but every hill in my experience has had a positive value for the height.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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