document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=626294>Question 626294</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A golf ball is hit into the air, and its height h in feet after t seconds is given by h(t) = -16t to the second power + 128t. <BR>\n" );
document.write( "a) what is the height of the golf ball when it is hit?<BR>\n" );
document.write( "b) After how many seconds does the golf ball reach its maximum height? <BR>\n" );
document.write( "c) Determine the maximum height of the golf ball? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #394117 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=394117\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A golf ball is hit into the air, and its height h in feet after t seconds is given by h(t) = -16t^2 + 128t.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "a) what is the height of the golf ball when it is hit?<BR>\n" );
document.write( "When the ball is hit, time, t = 0<BR>\n" );
document.write( "h(t) = -16(0^2) + 128(0)<BR>\n" );
document.write( "h(t) = 0 ft high when t=0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "b) After how many seconds does the golf ball reach its maximum height?<BR>\n" );
document.write( "Max height occurs at the axis of symmetry<BR>\n" );
document.write( "Find the axis of symmetry of h = -16t^2+128t using the formula x = -b/(2a)<BR>\n" );
document.write( "a=-16, b=128<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-128%29%2F%282%2A-16%29 ALIGN=MIDDLE  ALT=\"%28-128%29%2F%282%2A-16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-128%29%2F%28-32%29 ALIGN=MIDDLE  ALT=\"%28-128%29%2F%28-32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 4 seconds to reach max height<BR>\n" );
document.write( ":<BR>\n" );
document.write( "c) Determine the maximum height of the golf ball?<BR>\n" );
document.write( "Replace t with 4, find h(t)<BR>\n" );
document.write( "h(t) = -16(4^2) + 128(4)<BR>\n" );
document.write( "h(t) = -16*16 + 512<BR>\n" );
document.write( "h(t) = -256 + 512<BR>\n" );
document.write( "h(t) = 256 ft is the max height<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Graphically, time on the x axis, height 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+-2%2C+10%2C+-100%2C+300%2C+-16x%5E2%2B128x%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-2%2C+10%2C+-100%2C+300%2C+-16x%5E2%2B128x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );