document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=840522>Question 840522</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An object is projected vertically upward from the top of a building with an initial velocity of 96 ft/sec. Its distance s(t) in feet above the ground after t seconds is given by the equation<BR>\n" );
document.write( "s(t) = &#8722;16t2 + 96t + 120.<BR>\n" );
document.write( "(a) Find its maximum distance above the ground.<BR>\n" );
document.write( "s(t) = ft\r<BR>\n" );
document.write( "\n" );
document.write( "(b) Find the height of the building. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #506277 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=506277\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The formula for the vertex ( or peak ) is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bmax%5D+=+-b%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+t%5Bmax%5D+=+-b%2F%282a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+-16+ ALIGN=MIDDLE  ALT=\"+a+=+-16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+96+ ALIGN=MIDDLE  ALT=\"+b+=+96+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bmax%5D+=+-96%2F%282%2A%28-16%29%29+ ALIGN=MIDDLE  ALT=\"+t%5Bmax%5D+=+-96%2F%282%2A%28-16%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bmax%5D+=+3+ ALIGN=MIDDLE  ALT=\"+t%5Bmax%5D+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now plug the value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bmax%5D+ ALIGN=MIDDLE  ALT=\"+t%5Bmax%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > back<BR>\n" );
document.write( "into the equation to find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5Bmax%5D+ ALIGN=MIDDLE  ALT=\"+s%5Bmax%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5Bmax%5D+=+-16%2A3%5E2+%2B+96%2A3+%2B+120+ ALIGN=MIDDLE  ALT=\"+s%5Bmax%5D+=+-16%2A3%5E2+%2B+96%2A3+%2B+120+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5Bmax%5D+=+-144+%2B+288+%2B+120+ ALIGN=MIDDLE  ALT=\"+s%5Bmax%5D+=+-144+%2B+288+%2B+120+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s%5Bmax%5D+=+264+ ALIGN=MIDDLE  ALT=\"+s%5Bmax%5D+=+264+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(a)<BR>\n" );
document.write( "The max distance above ground is 264 ft<BR>\n" );
document.write( "------------------------------------<BR>\n" );
document.write( "To find the height of the building, set <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%5E2+%2B+96%2A0+%2B+120+ ALIGN=MIDDLE  ALT=\"+s%280%29+=+-16%2A0%5E2+%2B+96%2A0+%2B+120+\"   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+=+120+ ALIGN=MIDDLE  ALT=\"+s%280%29+=+120+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(b)<BR>\n" );
document.write( "the height of the building is 120 ft<BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "Here's the plot:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-1%2C+8%2C+-30%2C+300%2C+-16x%5E2+%2B+96x+%2B+120+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-1%2C+8%2C+-30%2C+300%2C+-16x%5E2+%2B+96x+%2B+120+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );