document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1080958>Question 1080958</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The height in feet of a projectile with an initial velocity of 96 feet per second and an initial height of 256 feet is a function of time in seconds given by <BR>\n" );
document.write( "h(t) = -16t^2 + 96t + 256. <BR>\n" );
document.write( "(a) Find the maximum height of the projectile.<BR>\n" );
document.write( "  _______ft\r<BR>\n" );
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document.write( "(b) Find the time t when the projectile achieves its maximum height.<BR>\n" );
document.write( "t =______sec\r<BR>\n" );
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document.write( "(c) Find the time t when the projectile has a height of 0 feet.<BR>\n" );
document.write( "t =______sec  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #695041 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=695041\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The t value is -b/2a=-96/-32 or 3 seconds (b)<BR>\n" );
document.write( "The height will be -144+288+256=400 feet<BR>\n" );
document.write( "-16t^2+96t+256=0<BR>\n" );
document.write( "divide by -16<BR>\n" );
document.write( "t^2-6t-16=0<BR>\n" );
document.write( "(t-8)(t+2)=0<BR>\n" );
document.write( "t=8 seconds, only positive root.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-30%2C500%2C-16x%5E2%2B96x%2B256%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-30%2C500%2C-16x%5E2%2B96x%2B256%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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