document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=224730>Question 224730</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the initial velocity of a geyser's boiling water     this is the equation    h=-16t+70t\r<BR>\n" );
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document.write( "what is the maximum height of the boiling water?<BR>\n" );
document.write( "how long was the boiling water in the air? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #167847 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=167847\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> what is the initial velocity of a geyser's boiling water this is the equation<BR>\n" );
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document.write( "h=-16t+70t<BR>\n" );
document.write( "I think it's h(t) = -16t^2 + 70t<BR>\n" );
document.write( "h'(t) = -32t + 70<BR>\n" );
document.write( "h'(0) = 70<BR>\n" );
document.write( "The initial velocity = 70 ft/sec<BR>\n" );
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document.write( "what is the maximum height of the boiling water?<BR>\n" );
document.write( "The time of max height is half of the flight time.  From below, total time = 4.375 seconds.<BR>\n" );
document.write( "1/2 is 2.1875 seconds the time at apogee<BR>\n" );
document.write( "h(2.1875) = -16*2.1875^2 + 70*2.1875<BR>\n" );
document.write( "max h = 76.5625 feet<BR>\n" );
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document.write( "how long was the boiling water in the air?<BR>\n" );
document.write( "Find when it's at h = 0. There will be 2 times, when it left and when it returns.<BR>\n" );
document.write( "-16t^2 + 70t = 0<BR>\n" );
document.write( "t = 0 (eruption)<BR>\n" );
document.write( "t = 70/16 seconds<BR>\n" );
document.write( "t = 4.375 seconds<BR>\n" );
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document.write( "It's assumed that there's no evaporation and no air resistance. </SPAN>\n" );
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