document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=669765>Question 669765</A>: <I><SPAN STYLE=\"word-break: break-all;\"> . 	A baseball is hit so that its height in feet after t seconds is<BR>\n" );
document.write( "  	 s(t) = -16t2 + 44t + 4.\r<BR>\n" );
document.write( "\n" );
document.write( "a)	How high is the baseball after 1 seconds?  \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "b)	Find the maximum height of the baseball. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #416571 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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=416571\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given, the height of the ball is<BR>\n" );
document.write( "(1) h(t) = -16t^2 +44t +4<BR>\n" );
document.write( "At t = 1 we get<BR>\n" );
document.write( "(2) h(1) = -16*1 +44 +4 or<BR>\n" );
document.write( "(3) h(1) = 32 ft<BR>\n" );
document.write( "Using derivative calculus, we get the time when the ball reaches the point of maximum height is given by<BR>\n" );
document.write( "(4) -2*16*t + 44 = 0 or<BR>\n" );
document.write( "(5) t = 11/8 sec<BR>\n" );
document.write( "The maximum height is <BR>\n" );
document.write( "(6) h(11/8) = -16*(11/8)^2 +44*(11/8) +4 or<BR>\n" );
document.write( "(7) h(11/8) = -16*121/64 +121/2 +4 or<BR>\n" );
document.write( "(8) h(11/8) = 121*(1/2 - 1/4) +4 or<BR>\n" );
document.write( "(9) h(11/8) = 121/4 + 4 or<BR>\n" );
document.write( "(10) h(11/8) = (121 + 16)/4 or<BR>\n" );
document.write( "(11) h(11/8) = 137/4 or<BR>\n" );
document.write( "(12) h(11/8) = 34 1/4 ft<BR>\n" );
document.write( "Answers: After 1 sec the baseball is at 32' height and reaches a maximum height of 34'-3\" at 1 and 3/8 sec. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );