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 #613401 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=613401\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You want to know the values of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > when<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%28t%29+%3E+170+ ALIGN=MIDDLE  ALT=\"+s%28t%29+%3E+170+\"   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+=+-16t%5E2+%2B+32t+%2B+170+ ALIGN=MIDDLE  ALT=\"+s%28t%29+=+-16t%5E2+%2B+32t+%2B+170+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When <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;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%280%29+=+-16%2A0+%2B+32%2A0+%2B+170+ ALIGN=MIDDLE  ALT=\"+s%280%29+=+-16%2A0+%2B+32%2A0+%2B+170+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%280%29+=+170+ ALIGN=MIDDLE  ALT=\"+s%280%29+=+170+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, <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;\" > is the initial time<BR>\n" );
document.write( "Now you have to find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > when theball is<BR>\n" );
document.write( "coming down and is back to the 170 ft level<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%28t%29+=+170+ ALIGN=MIDDLE  ALT=\"+s%28t%29+=+170+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+170+=+-16t%5E2+%2B+32t+%2B+170+ ALIGN=MIDDLE  ALT=\"+170+=+-16t%5E2+%2B+32t+%2B+170+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-16t%5E2+%2B+32t+=+0+ ALIGN=MIDDLE  ALT=\"+-16t%5E2+%2B+32t+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%2A%28+-16t+%2B+32+%29+=+0+ ALIGN=MIDDLE  ALT=\"+t%2A%28+-16t+%2B+32+%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=+16t+=+32+ ALIGN=MIDDLE  ALT=\"+16t+=+32+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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;\" ><BR>\n" );
document.write( "The ball exceeds the height of the rooftop<BR>\n" );
document.write( "between 0 and 2 sec<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Here's a plot of the ball's height and time in sec<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-1%2C+5%2C+-50%2C+250%2C+-16x%5E2+%2B+32x+%2B+170+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-1%2C+5%2C+-50%2C+250%2C+-16x%5E2+%2B+32x+%2B+170+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );