document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1158564>Question 1158564</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Scott and Tommy are glad to be done with algebra.  The climb to the roof of a 300 foot building.  Emmett drops his algebra book while Brennan throws his towards the ground at 10 feet per second.  What is the time difference between the two books hitting 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 #781633 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=781633\">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( "The height as function of elapsed time for an object's vertical motion near the earth's surface using the fps measurement system is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ h(t)\ =\ -16t^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 h(t)\"> represents the height at time <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large t\">, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large -16\"> is one-half of the gravitational acceleration constant near the earth, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large v_o\"> is the initial velocity of the object, and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large h_o\"> is the initial height of the object.\r<BR>\n" );
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document.write( "For both experiments, the initial height, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large h_o\ =\ 300\text{ feet}\">, and the gravitational acceleration constant is, as the name implies, a constant.\r<BR>\n" );
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document.write( "For one of these hooligans showing egregious disrespect for their algebra textbooks, the initial velocity is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large v_o\ =\ -10\text{ f/s}\">. This value is negative because \"...<b>towards the ground</b>...\". For the other, the initial velocity is zero.\r<BR>\n" );
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document.write( "When the books hit the ground, the height is zero. Hence, you need to solve the following two quadratic equations to determine the values of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large t_T\">, the elapsed time for the book thrown and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large t_D\">, the elapsed time for the book dropped so that you can make the final calculation of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large t_D\ -\ t_T\">, which answers the question posed.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ -16\(t_T\)^2\ -\ 10t_T\ +\ 300\ = 0\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ -16\(t_D\)^2\ +\ 300\ = 0\">\r<BR>\n" );
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document.write( "The rest is just arithmetic.\r<BR>\n" );
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document.write( "<b><i>Extra Credit</i></b>\r<BR>\n" );
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document.write( "Which book hits the ground first if one just drops his and the other throws his UPWARDS at 10 feet per second?<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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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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