document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1063677>Question 1063677</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Will someone please show me a completed solution to this word problem.\r<BR>\n" );
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document.write( "   In a diving siblings showcase,11-year-old Hannah takes off from a 24.61 foot platform with an initial velocity of 9.7 feet per second at the same time that her older brother Tyler takes off from a 32.81 foot platform with an initial velocity of 4.51 feet per second. Who enters the water first? By how much? Round to the nearest hundredth.\r<BR>\n" );
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document.write( " Thanks very much for your help and your time. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #678798 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=678798\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> since we are working in feet, we use 32 ft/sec/sec to represent acceleration due to gravity<BR>\n" );
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document.write( "h(t) = -(1/2)32t^2 + v(0)t + h(0), where t is time, v(0) is initial velocity, h(0) is initial height and h(t) is height after t seconds<BR>\n" );
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document.write( "Calculate for Hannah, 0 height is when she hits the water<BR>\n" );
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document.write( "0 = -16t^2 + 9.7t + 24.61<BR>\n" );
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document.write( "use quadratic formula to solve for t<BR>\n" );
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document.write( "t = (-9.7 + square root(9.7^2 - 4 * (-16) * 24.61) / (2*(-16)) = -0.97<BR>\n" );
document.write( "t = (-9.7 - square root(9.7^2 - 4 * (-16) * 24.61) / (2*(-16)) = 1.58<BR>\n" );
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document.write( "Calculate for Tyler<BR>\n" );
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document.write( "0 = -16t^2 + 4.51t + 32.81<BR>\n" );
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document.write( "t = (-(4.51) + square root((4.51^2) - 4 * (-16) * 32.81) / (2*(-16)) = -1.30<BR>\n" );
document.write( "t = (-(4.51) - square root((4.51^2) - 4 * (-16) * 32.81) / (2*(-16)) = 1.58<BR>\n" );
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document.write( "Hannah and Tyler enter the water at the same time, 1.58 seconds after jumping<BR>\n" );
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