document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=328191>Question 328191</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If an object is propelled upward from a height of 96ft at an initial velocity of 80ft per second, then its height after t seconds is given by the equation h = -16t^2 + 80t + 96 where h is in feet. After how many seconds will the object reach a height of 196ft?\r<BR>\n" );
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document.write( " I am not so good at word problems and am really confused! You have great tutors that I appreciate so very much. I hope that someone will lend me a hand this one has me stumped. Thank you in advance.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #235072 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=235072\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> an object is propelled upward from a height of 96ft at an initial velocity of 80ft per second,<BR>\n" );
document.write( "its height after t seconds is given by the equation h = -16t^2 + 80t + 96 where h is in feet.<BR>\n" );
document.write( " After how many seconds will the object reach a height of 196ft?<BR>\n" );
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document.write( "-16t^2 + 80t + 96 = h<BR>\n" );
document.write( "Replace h with 196<BR>\n" );
document.write( "-16t^2 + 80t + 96 = 196<BR>\n" );
document.write( "-16t^2 + 80t + 96 - 196 = 0<BR>\n" );
document.write( "-16t^2 + 80t - 100 = 0<BR>\n" );
document.write( "Simplify & change the signs, divide by -4, (easier to factor)<BR>\n" );
document.write( "4t^2 - 20x + 25 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(2t-5)(2t-5) = 0<BR>\n" );
document.write( "2t = 5<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F2 ALIGN=MIDDLE  ALT=\"5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 2.5 seconds it will be 196 ft (this is also the max height)<BR>\n" );
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document.write( "Graphically; t on the x axis, h on the y axis<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-4%2C+8%2C+-100%2C+240%2C+-16x%5E2%2B80x%2B96%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-4%2C+8%2C+-100%2C+240%2C+-16x%5E2%2B80x%2B96%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >   </SPAN>\n" );
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