document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=507432>Question 507432</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a baseball is hit so that its height in feet after t seconds is s(t)=-16tsquared +44t+4 find the maximum height of the baseball<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #340497 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=340497\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a baseball is hit so that its height in feet after t seconds is s(t)=-16tsquared +44t+4 find the maximum height of the baseball<BR>\n" );
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document.write( "s(t)=-16tsquared +44t+4<BR>\n" );
document.write( "s(t)=-16t^2 +44t+4<BR>\n" );
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document.write( "Because the coefficient associated with the t^2 term is negative, we know it is a parabola that opens downwards.<BR>\n" );
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document.write( "therefore, the vertex is the max.<BR>\n" );
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document.write( "height is max when:<BR>\n" );
document.write( "t = -b/(2a)<BR>\n" );
document.write( "t = -44/(2(-16))<BR>\n" );
document.write( "t = -44/(-32)<BR>\n" );
document.write( "t = 1.375 secs<BR>\n" );
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document.write( "max height:<BR>\n" );
document.write( "s(t)=-16t^2 +44t+4<BR>\n" );
document.write( "s(1.375)=-16(1.375)^2 +44(1.375)+4<BR>\n" );
document.write( "s(1.375)=-16(1.890625) +60.5+4<BR>\n" );
document.write( "s(1.375)=-30.25 +60.5+4<BR>\n" );
document.write( "s(1.375)= 34.25 feet<BR>\n" );
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