document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1061238>Question 1061238</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the problem. A toy rocket is shot vertically upward from the ground. Its height in<BR>\n" );
document.write( "feet from the ground in t seconds is given by h = -16t2 + 128t . At what time or times will<BR>\n" );
document.write( "the ball be 152 ft from the ground? Leave your answer as a reduced fraction or tenth of a<BR>\n" );
document.write( "second, if necessary. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #676039 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=676039\">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=+h+=+-16t%5E2+%2B+128t+ ALIGN=MIDDLE  ALT=\"+h+=+-16t%5E2+%2B+128t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+152+=+-16t%5E2+%2B+128t+ ALIGN=MIDDLE  ALT=\"+152+=+-16t%5E2+%2B+128t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8+ ALIGN=MIDDLE  ALT=\"+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+19+=+-2t%5E2+%2B+16t+ ALIGN=MIDDLE  ALT=\"+19+=+-2t%5E2+%2B+16t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-2t%5E2+%2B+16t+-+19+=+0+ ALIGN=MIDDLE  ALT=\"+-2t%5E2+%2B+16t+-+19+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29%2F%282%2Aa%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+=+-2+ ALIGN=MIDDLE  ALT=\"+a+=+-2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+16+ ALIGN=MIDDLE  ALT=\"+b+=+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+-19+ ALIGN=MIDDLE  ALT=\"+c+=+-19+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28+-16+%2B-+sqrt%28+16%5E2+-+4%2A%28-2%29%2A%28-19%29+%29%29%2F%282%2A%28-2%29%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28+-16+%2B-+sqrt%28+16%5E2+-+4%2A%28-2%29%2A%28-19%29+%29%29%2F%282%2A%28-2%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+=+%28+-16+%2B-+sqrt%28+256+-+152+%29%29%2F%28-4%29%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28+-16+%2B-+sqrt%28+256+-+152+%29%29%2F%28-4%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+=+%28+-16+%2B+sqrt%28+104+%29+%29+%2F+%28-4%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28+-16+%2B+sqrt%28+104+%29+%29+%2F+%28-4%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+=+%28+-16+%2B+10.2+%29+%2F+%28-4%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28+-16+%2B+10.2+%29+%2F+%28-4%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+=+5.8%2F4+ ALIGN=MIDDLE  ALT=\"+t+=+5.8%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+1.45+ ALIGN=MIDDLE  ALT=\"+t+=+1.45+\"   DISABLED_style= \"max-width:90%; height:auto;\" > sec<BR>\n" );
document.write( "and, also<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28+-16+-+sqrt%28+104+%29+%29+%2F+%28-4%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28+-16+-+sqrt%28+104+%29+%29+%2F+%28-4%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+=+%28+-16+-+10.2+%29+%2F+%28-4%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28+-16+-+10.2+%29+%2F+%28-4%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+=+26.2%2F4+ ALIGN=MIDDLE  ALT=\"+t+=+26.2%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+6.55+ ALIGN=MIDDLE  ALT=\"+t+=+6.55+\"   DISABLED_style= \"max-width:90%; height:auto;\" > sec<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "check answer:<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+500%2C+500%2C+-2%2C+10%2C+-30%2C+300%2C+-16x%5E2+%2B+128x+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+500%2C+500%2C+-2%2C+10%2C+-30%2C+300%2C+-16x%5E2+%2B+128x+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It's hard to see, but I think<BR>\n" );
document.write( "my answers are close\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );