document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=981891>Question 981891</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ok so the problem is A rocket is launched from atop a 41 foot cliff with an initial velocity of 103 feet per second. The height of the rocket t seconds after launch is given by the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=-16%5E2%2B103t%2B41 ALIGN=MIDDLE  ALT=\"h=-16%5E2%2B103t%2B41\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Graph the equation to find out how long after the rocket is launched it will hit the ground. Round to the nearest tenth of a second. <BR>\n" );
document.write( "I know this is a large problem but please help and ill be very grateful. <BR>\n" );
document.write( "I remember my math teacher asking this but it was 2 years ago so I forgot how to do it.<BR>\n" );
document.write( " Please explain also. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #602807 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=602807\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The equation is<BR>\n" );
document.write( "h = -16t^2 +103t + 41<BR>\n" );
document.write( "this is a parabola that opens downward<BR>\n" );
document.write( "to find time t when the rocket hits the round solve the following for t<BR>\n" );
document.write( "-16t^2 +103t + 41 = 0<BR>\n" );
document.write( "use quadratic formula,<BR>\n" );
document.write( "t = (-b + or - square root(b^2 - 4ac)) / 2a<BR>\n" );
document.write( "we get the following solutions for t<BR>\n" );
document.write( "t = 6.813586792 or t = &#8722;0.376086792<BR>\n" );
document.write( "we want the positive value for t, therefore<BR>\n" );
document.write( "the rocket will hit the ground in 6.8 seconds<BR>\n" );
document.write( "here is the graph<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+10%2C+-600%2C+200%2C+-16x%5E2+%2B103x+%2B+41%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-6%2C+10%2C+-600%2C+200%2C+-16x%5E2+%2B103x+%2B+41%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );