document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1049249>Question 1049249</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Herman arranged a game of water balloon volleyball for his daughter’s birthday party. Suppose the balloon has a height of h metres, t seconds after it is tossed, as defined by h = -5t^2 + 12t + 1.<BR>\n" );
document.write( "a) Write an equation that shows how many seconds will pass before the balloon hits the ground. Solve this equation,rounded to the nearest hundredth of a second.<BR>\n" );
document.write( "b) what is the maximum height reached by the balloon? When does it reach this height? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #664805 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=664805\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Herman arranged a game of water balloon volleyball for his daughter’s birthday party. Suppose the balloon has a height of h metres, t seconds after it is tossed, as defined by h = -5t^2 + 12t + 1.<BR>\n" );
document.write( "a) Write an equation that shows how many seconds will pass before the balloon hits the ground. Solve this equation,rounded to the nearest hundredth of a second.<BR>\n" );
document.write( "Height = zero when the balloon hits the ground.<BR>\n" );
document.write( "Solve: -5t^2+12t+1 = 0<BR>\n" );
document.write( "t = 2.48 seconds<BR>\n" );
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document.write( "b) what is the maximum height reached by the balloon? When does it reach this height?<BR>\n" );
document.write( "Max occurs when t = -b/(2a) = -12/(2*-5) = 6/5<BR>\n" );
document.write( "Max height = f(6/5) = -5(6/5)^2+12(6/5)+1 = 8.2 metres<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );