document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1020997>Question 1020997</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I am having trouble with a Word problem/quadratic equation. \"A company manufactures high-powered fountains that can be used to create water shows set to light and music.  The company makes 3 models, each can launch a vertical stream of water to a different height, as indicated in the table below        .             Model A    Model B      Model C<BR>\n" );
document.write( "Height(ft)-----------      -77---------100---------240<BR>\n" );
document.write( "time to fall(s)----       --2.194----    ?     ----  ?<BR>\n" );
document.write( "Initial velocity (ft/s)----70.2---------?-----------123.9 ** I need to find the 3 missing values (time water would take to fall from each height in the table back to its starting level for models B & C, and the initial upward velocity required for model B to launch the water to its maximum height, and create a function that will give the minimum initial upward velocity (v) required to launch water to any give height (h).  I apologize for such a large question and will appreciate any help you can give me!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #636798 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=636798\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello, I am having trouble with a Word problem/quadratic equation. \"A company manufactures high-powered fountains that can be used to create water shows set to light and music.  The company makes 3 models, each can launch a vertical stream of water to a different height, as indicated in the table below        .             ________________________Model A    Model B      Model C<BR>\n" );
document.write( "Height(ft)-----------      -77---------100---------240<BR>\n" );
document.write( "time to fall(s)----       --2.194----    ?     ----  ?<BR>\n" );
document.write( "Initial velocity (ft/s)----70.2---------?-----------123.9 <BR>\n" );
document.write( "-------<BR>\n" );
document.write( "h(t) = -16t^2 + Vot + Ho<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Using Model A DATA:<BR>\n" );
document.write( "77 = -16(2.194)^2 + 70.2(2.194) + 0<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Using Model B DATA:<BR>\n" );
document.write( "100 = -16t^2 + Vo(t)<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Using Model C DATA:<BR>\n" );
document.write( "240 = -16t^2 + 123.9t<BR>\n" );
document.write( "Solve for \"t\"::<BR>\n" );
document.write( "t = 4 seconds<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );