document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=994201>Question 994201</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the position function\r<BR>\n" );
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document.write( "s(t) = -16t^2 + v_0t + s_0\r<BR>\n" );
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document.write( "v0 = initial velocity, <BR>\n" );
document.write( "         s0 = initial position, <BR>\n" );
document.write( "                        t = time\r<BR>\n" );
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document.write( "to answer the following question.\r<BR>\n" );
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document.write( "You throw a ball straight up from a rooftop 170 feet high with an initial velocity of 32 feet per second. During which time period will the ball's height exceed that of the rooftop?\r<BR>\n" );
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document.write( "ANSWER: Between ...?? and ...?? seconds. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #613406 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=613406\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%28t%29+=+-16t%5E2+%2B+v%5B0%5Dt+%2B+s%5B0%5D ALIGN=MIDDLE  ALT=\"s%28t%29+=+-16t%5E2+%2B+v%5B0%5Dt+%2B+s%5B0%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5B0%5D+=+initial+_velocity ALIGN=MIDDLE  ALT=\"v%5B0%5D+=+initial+_velocity\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5B0+%5D=+initial_+position ALIGN=MIDDLE  ALT=\"s%5B0+%5D=+initial_+position\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+time ALIGN=MIDDLE  ALT=\"t+=+time\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5B0+%5D=170ft ALIGN=MIDDLE  ALT=\"s%5B0+%5D=170ft\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5B0%5D+=32+%28ft%2Fs%29 ALIGN=MIDDLE  ALT=\"v%5B0%5D+=32+%28ft%2Fs%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%28t%29+%3Es%5B0+%5D ALIGN=MIDDLE  ALT=\"s%28t%29+%3Es%5B0+%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-16t%5E2+%2B+32t+%2B+170%3E170 ALIGN=MIDDLE  ALT=\"+-16t%5E2+%2B+32t+%2B+170%3E170\"   DISABLED_style= \"max-width:90%; height:auto;\" >=>the ball's height exceed that of the rooftop\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-16t%5E2+%2B+32t+%2B+170%3E170 ALIGN=MIDDLE  ALT=\"+-16t%5E2+%2B+32t+%2B+170%3E170\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-16t%5E2+%2B32t%3E0 ALIGN=MIDDLE  ALT=\"-16t%5E2+%2B32t%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%28t%5E2+-2t%29=+0 ALIGN=MIDDLE  ALT=\"16%28t%5E2+-2t%29=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E2+-2t=0 ALIGN=MIDDLE  ALT=\"t%5E2+-2t=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%28t-2%29=0 ALIGN=MIDDLE  ALT=\"t%28t-2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "solutions:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+0+ ALIGN=MIDDLE  ALT=\"t+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+2+ ALIGN=MIDDLE  ALT=\"t+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so between <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=0 ALIGN=MIDDLE  ALT=\"t=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=2 ALIGN=MIDDLE  ALT=\"t=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > at the ball’s height exceed <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=170ft ALIGN=MIDDLE  ALT=\"170ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "  \r<BR>\n" );
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document.write( " </SPAN>\n" );
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