document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=654288>Question 654288</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If an object is thrown upward with an initial velocity of 96ft/sec,its height after t seconds is given by h(t)=96t-16tsquared. Find the maximum height of the object. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #408674 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=408674\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If an object is thrown upward with an initial velocity of 96ft/sec,its height after t seconds is given by h(t)=96t-16tsquared. Find the maximum height of the object.<BR>\n" );
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document.write( "h(t)=96t-16tsquared<BR>\n" );
document.write( "h(t)=96t-16t^2<BR>\n" );
document.write( "h(t)=-16t^2+96t<BR>\n" );
document.write( "This is an equation of a parabola that opens downwards.<BR>\n" );
document.write( "Its standard form: y=(x-h)^2+k, (h,k) = (x,y) coordinates of the vertex.<BR>\n" );
document.write( "maximum=y-coordinate of vertex.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "complete the square:<BR>\n" );
document.write( "h(t)=-16(t^2-6t+9)+144=-16(t-3)^2+144<BR>\n" );
document.write( "vertex: (3,144)<BR>\n" );
document.write( "maximum height of the object=144 ft<BR>\n" );
document.write( " </SPAN>\n" );
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