document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1172181>Question 1172181</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3.h(t)=−4.9t2+8t+5 represents Jeremiah's height (h) in meters above the water t seconds after he leaves the diving board. Show clear solutions thanksss!\r<BR>\n" );
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document.write( "a.	What is the initial height of the diving board?<BR>\n" );
document.write( "b.	At what time did Jeremiah reach his maximum height?<BR>\n" );
document.write( "c.	What was Jeremiah’s maximum height?<BR>\n" );
document.write( "d.	How long was Jeremiah in the air<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #797126 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=797126\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The 5 represents the diving board's height in m; the 8t is the speed leaving the board in m/sec and the -4.9 is the acceleration of gravity.<BR>\n" );
document.write( "maximum height is at t=-b/2a or -8/-9.8 or 0.816 seconds<BR>\n" );
document.write( "His maximum height was 8.27 m (I didn't round until the end). This is f(0.816)<BR>\n" );
document.write( "he was in the air until h(t)=0 with positive t (the parabola has a negative t which is ignored)<BR>\n" );
document.write( "rewrite as 4.9t^2-8t-5=0 (easier to deal with)<BR>\n" );
document.write( "t=(1/9.8)(8+/-sqrt(64+98)) sqrt (162)=12.73 <BR>\n" );
document.write( "t=2.12 sec. in the air.\r<BR>\n" );
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