document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1131410>Question 1131410</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A diver bounces off a 3 m springboard at an initial upward speed of 4 m/s. Over what time interval is the height of the diver greater than 3.5 m above the water? Round to the nearest hundredth of a second.\r<BR>\n" );
document.write( "\n" );
document.write( "h = -4.9t^2 + 4t + 3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #748075 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=748075\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+=+-4.9t%5E2+%2B+4t+%2B+3+ ALIGN=MIDDLE  ALT=\"+h+=+-4.9t%5E2+%2B+4t+%2B+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+=+3.5+ ALIGN=MIDDLE  ALT=\"+h+=+3.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3.5+=+-4.9t%5E2+%2B+4t+%2B+3+ ALIGN=MIDDLE  ALT=\"+3.5+=+-4.9t%5E2+%2B+4t+%2B+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-4.9t%5E2+%2B+4t+-+.5+=+0+ ALIGN=MIDDLE  ALT=\"+-4.9t%5E2+%2B+4t+-+.5+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+-4.9+ ALIGN=MIDDLE  ALT=\"+a+=+-4.9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+4+ ALIGN=MIDDLE  ALT=\"+b+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+-.5+ ALIGN=MIDDLE  ALT=\"+c+=+-.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28-4+%2B-+sqrt%28+4%5E2-4%2A%28-4.9%29%2A%28-.5%29+%29%29%2F%282%2A%28-4.9%29%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28-4+%2B-+sqrt%28+4%5E2-4%2A%28-4.9%29%2A%28-.5%29+%29%29%2F%282%2A%28-4.9%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28-4+%2B-+sqrt%28+16+-+9.8+%29%29%2F%28%28-9.8%29%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28-4+%2B-+sqrt%28+16+-+9.8+%29%29%2F%28%28-9.8%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28+-4+%2B-+sqrt%28+6.2+%29+%29%2F%28-9.8%29+%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28+-4+%2B-+sqrt%28+6.2+%29+%29%2F%28-9.8%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28+-4+%2B+2.49+%29%2F%28-9.8%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28+-4+%2B+2.49+%29%2F%28-9.8%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28-1.51%29%2F%28-9.8%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28-1.51%29%2F%28-9.8%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+.154+ ALIGN=MIDDLE  ALT=\"+t+=+.154+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, also:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+%28+-4+-+2.49+%29%2F%28-9.8%29+ ALIGN=MIDDLE  ALT=\"+t+=+%28+-4+-+2.49+%29%2F%28-9.8%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+.662+ ALIGN=MIDDLE  ALT=\"+t+=+.662+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The height is greater than 3.5 m above the water<BR>\n" );
document.write( "between .154 sec and .662 sec<BR>\n" );
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document.write( "Here's the plot:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-2%2C+2%2C+-1%2C+4%2C+-4.9x%5E2+%2B+4x+%2B+3+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-2%2C+2%2C+-1%2C+4%2C+-4.9x%5E2+%2B+4x+%2B+3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Looks like the answers could be right. Check the math. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );