document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=595628>Question 595628</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A ball is thrown straight upward with an initial velocity of 52 ft/sec. Its height above the ground after seconds is given by the formula h(t)=-16t^2+52t. Whta is the maximum height that the ball attains before hitting the ground (feet)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #377221 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=377221\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">     A ball is thrown straight upward with an initial velocity of 52 ft/sec. Its height above the ground after seconds is given by the formula h(t)=-16t^2+52t. What is the maximum height that the ball attains before hitting the ground (feet)?<BR>\n" );
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document.write( "Max height is at the vertex.<BR>\n" );
document.write( "Value of t at vertex is:<BR>\n" );
document.write( "t = -b/(2a)<BR>\n" );
document.write( "t = -52/(2(-16))<BR>\n" );
document.write( "t = -52/(-32)<BR>\n" );
document.write( "t = 1.625<BR>\n" );
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document.write( "Height at this time is:<BR>\n" );
document.write( "h(t)=-16t^2+52t<BR>\n" );
document.write( "h(1.625)=-16(1.625)^2+52(1.625)<BR>\n" );
document.write( "h(1.625)= 42.25 feet\r<BR>\n" );
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