document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1121393>Question 1121393</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A ball is thrown into the air. Its height (in feet) t seconds later is given by<BR>\n" );
document.write( "h(t)=96t&#8722;16t2 <BR>\n" );
document.write( "Based on the two equivalent forms of the function h(t)=96t&#8722;16t2=t&#8901;(96&#8722;16t), answer the following questions:\r<BR>\n" );
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document.write( "a) What is the height of the ball 1 second after it has been thrown? <BR>\n" );
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document.write( "b) After how many seconds does the ball hit the ground? <BR>\n" );
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document.write( "c) At what time(s) is the ball 40 feet above the ground? If there is more than one answer, give your answer as a comma separated list of values. Note that you do not have to include units in this answer. <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 #737266 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=737266\">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( "Presuming that the person who threw the ball was standing in a hole of such depth that when the ball was released it was exactly at ground level, then your function makes sense.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ h(t)\ =\ 96t\ -\ 16t^2\">\r<BR>\n" );
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document.write( "1.  Evaluate <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE h(1)\">.\r<BR>\n" );
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document.write( "2.  Set <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE h(t)\ =\ 0\">, that is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE t(96\ -\ 16t)\ =\ 0\"> and then solve for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE t\">.  Discard the zero root because 0 is the time the ball was thrown.\r<BR>\n" );
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document.write( "3.  Set <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE h(t)\ =\ 40\">, that is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE t(96\ -\ 16t)\ =\ 40\"> and then solve for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE t\">.  There will be two roots, one representing the time the ball was at 40 feet from the ground on the way up, and one representing the time it was at 40 feet from the ground on the way down.\r<BR>\n" );
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document.write( "Extra credit:  What is the highest point that the ball reaches? In other words, does it make sense that the ball was at 40 ft above the ground twice during its travels?  Did it ever get to 40 ft high at all?\r<BR>\n" );
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document.write( "Hint:  Put your function into <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE h(t)\ =\ at^2\ +\ bt\ +\ c\"> form, then calculate <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE -\frac{b}{2a}\"> and evaluate the function at that value.<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" );
document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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