document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=89408>Question 89408</A>: <I><SPAN STYLE=\"word-break: break-all;\"> /Word problem to solve - very confused<BR>\n" );
document.write( "Okay here goes!!!<BR>\n" );
document.write( "It is a launch of a cannon ball <BR>\n" );
document.write( "Cannon ball should have initial vertical velocity of 15 feet per second.  the cannon is on a hill that is 10 ft high.  Keep in mind that the barrel of teh cannon is 4 ft. off the ground (on the hill) and the cannon ball is launched from the top of the cannon.<BR>\n" );
document.write( "Okay - I need to use the following model:<BR>\n" );
document.write( "h=-16t^+vt + h<BR>\n" );
document.write( "h=height<BR>\n" );
document.write( "v=initial vertical velocity (ft per second)<BR>\n" );
document.write( "h=inital height (ft)<BR>\n" );
document.write( "t-time in motion - (seconds)<BR>\n" );
document.write( "I have to find a function that models the path of the cannon ball<BR>\n" );
document.write( "Graph of the path<BR>\n" );
document.write( "Maximum height of the cannon ball above level ground and<BR>\n" );
document.write( "how long after the cannon ball is launched does it reach its max height\r<BR>\n" );
document.write( "\n" );
document.write( "i can't believe this - HELP!!!!!!!!!!!!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #64995 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=64995\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Cannon ball should have initial vertical velocity of 15 feet per second. the cannon is on a hill that is 10 ft high. Keep in mind that the barrel of teh cannon is 4 ft. off the ground (on the hill) and the cannon ball is launched from the top of the cannon.<BR>\n" );
document.write( "Okay - I need to use the following model:<BR>\n" );
document.write( "h=-16t^+vt + h<BR>\n" );
document.write( "h=height<BR>\n" );
document.write( "v=initial vertical velocity (ft per second)<BR>\n" );
document.write( "h=inital height (ft)<BR>\n" );
document.write( "t-time in motion - (seconds)<BR>\n" );
document.write( "I have to find a function that models the path of the cannon ball<BR>\n" );
document.write( "h(t) = -16t^2 + 15t + 14<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Graph of the path<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-5%2C10%2C-5%2C20%2C-16x%5E2%2B15x%2B14%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-5%2C10%2C-5%2C20%2C-16x%5E2%2B15x%2B14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Maximum height of the cannon ball above level ground and<BR>\n" );
document.write( "how long after the cannon ball is launched does it reach its max height <BR>\n" );
document.write( "Max occurs at time t= -b/2a = -15/-32 seconds<BR>\n" );
document.write( "H(15/32) = -16(15/32)^2+15(15/32)+14 = 17.516 ft<BR>\n" );
document.write( "=============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );