document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1009578>Question 1009578</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a firework is launched from the top of a 50ft building with an initial upward velocity of 150 ft/sec <BR>\n" );
document.write( " h(t)=-16t^2+vt+h<BR>\n" );
document.write( " t=time, h is initial height, v is the initial velocity in feet per second <BR>\n" );
document.write( " 1.what is the equation for this situation<BR>\n" );
document.write( " 2.when will the firework land if it does not explode<BR>\n" );
document.write( " 3.a table for this situation so that it shows the height from time t=0 unit it hits the ground<BR>\n" );
document.write( " 4.calculate the axis of symmetry<BR>\n" );
document.write( " 5.calculate the coordinates of the vertex<BR>\n" );
document.write( " 6.explain why negative values of t and h(t) do not make sense for this problem<BR>\n" );
document.write( " 7. graph the situation   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #625040 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=625040\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the equation is -16t^2+150t+50, the middle term being the upward velocity and the last term being the height it started at.<BR>\n" );
document.write( "The vertex is at -150/-32=4.6875, and the height is 401.56 feet<BR>\n" );
document.write( "Setting the equation equal to zero,<BR>\n" );
document.write( "-16t^2+150t+50=0 or 16t^2-150t-50=0<BR>\n" );
document.write( "t=(1/32) { 150 +/- sqrt (22500+3200)}, where sqrt (25700)=160.31<BR>\n" );
document.write( "t=(1/32)310.31=9.697 sec or 9.7 seconds TIME TO LANDING\r<BR>\n" );
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document.write( "===============<BR>\n" );
document.write( "0---50<BR>\n" );
document.write( "1--184<BR>\n" );
document.write( "2--286<BR>\n" );
document.write( "3--356<BR>\n" );
document.write( "4--394<BR>\n" );
document.write( "5--400<BR>\n" );
document.write( "6--374<BR>\n" );
document.write( "7--316<BR>\n" );
document.write( "8--226<BR>\n" );
document.write( "9--104<BR>\n" );
document.write( "10--has hit <BR>\n" );
document.write( "===========<BR>\n" );
document.write( "axis of symmetry is at vertex or t=4.6875<BR>\n" );
document.write( "======<BR>\n" );
document.write( "negative values would imply the rocket was rising up through the building.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-10%2C10%2C50%2C500%2C-16x%5E2%2B150x%2B50%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C10%2C50%2C500%2C-16x%5E2%2B150x%2B50%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );