document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1181717>Question 1181717</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An Acapulco cliff diver dives into the sea from a height of 35 m. His height, h, in meters t<BR>\n" );
document.write( "seconds after leaving the cliff is given by the equation h=-4.9t^2 + t + 35 <BR>\n" );
document.write( "a) Find the diver’s initial height. <BR>\n" );
document.write( "b) Find the diver’s height after 1.5 seconds. <BR>\n" );
document.write( "c) How long is it until the diver reaches the water? Round answer to the nearest hundredth. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #811706 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=811706\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the initial height is the constant 35 m in the equation.<BR>\n" );
document.write( "after 1.5 seconds, h(1.5)=4.9*2.25+1.5+35=25.475 m<BR>\n" );
document.write( "when hits water h(t)=0<BR>\n" );
document.write( "so -4.9t^2+t+35=0 or 4.9t^2-t-35=0<BR>\n" );
document.write( "t=(1/9.8)(1+/- sqrt(1+686)); sqrt(687)=26.21<BR>\n" );
document.write( "t=27.21/9.8 for only positive root=2.78 seconds\r<BR>\n" );
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