document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=242538>Question 242538</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the path of a golf ball hit at an angle of about 10 degrees to the horizontal can be modelled by the function h= -0.002dsquared + 0.4d<BR>\n" );
document.write( "where h is the height of the ball, in metres, and d is the horizontal distance the ball travels, in metres, until it first hits the ground.<BR>\n" );
document.write( "a.  What is the maximum height reached by the ball?<BR>\n" );
document.write( "b,  What is the horizontal distance of the ball from the golfer when the ball reaches its maximum height?<BR>\n" );
document.write( "c.  What distance does the ball travel horizontally until it first hits the ground? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #178015 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=178015\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> h= -0.002d^2 + 0.4d<BR>\n" );
document.write( "where h is the height of the ball, in metres, and d is the horizontal distance the ball travels, in metres, until it first hits the ground.<BR>\n" );
document.write( "a. What is the maximum height reached by the ball?<BR>\n" );
document.write( "h(d) = -0.002d^2 + 0.4d<BR>\n" );
document.write( "-0.002d^2 + 0.4d - h = 0<BR>\n" );
document.write( "The vertex is at -b/2a = -0.4/-0.004 = 100<BR>\n" );
document.write( "h(100) = -0.002*10000 + 40<BR>\n" );
document.write( "max = 20 meters<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "b, What is the horizontal distance of the ball from the golfer when the ball reaches its maximum height?<BR>\n" );
document.write( "d at the vertex = 100 meters<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "c. What distance does the ball travel horizontally until it first hits the ground?<BR>\n" );
document.write( "The equation is symmetrical, so it's 2x the distance at the vertex<BR>\n" );
document.write( "= 200 meters<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );