document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=177806>Question 177806</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Quadratic Relations<BR>\n" );
document.write( "A basketball shot is taken from a horizontal distance of 5m from the hoop. The height of the ball can be modelled by the relation h=-7.3t^2+8.25t+2.1, where h is the height, in metres, and t is the time, in seconds, since the ball was released.<BR>\n" );
document.write( "a) From what height was the ball released?<BR>\n" );
document.write( "b) What was the maximum height reached by the ball?<BR>\n" );
document.write( "c) If the ball reached the hoop in 1 s, what was the height of the hoop? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #132844 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=132844\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A basketball shot is taken from a horizontal distance of 5m from the hoop. The height of the ball can be modelled by the relation h=-7.3t^2+8.25t+2.1, where h is the height, in metres, and t is the time, in seconds, since the ball was released.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "a) From what height was the ball released?<BR>\n" );
document.write( "Released when t = 0, therefore -7.3(0^2) + 8.25(0) + 2.1 = 2.1 meters<BR>\n" );
document.write( ":<BR>\n" );
document.write( "b) What was the maximum height reached by the ball?<BR>\n" );
document.write( "Max height occurs at the axis of symmetry, x = -b/(2a; in this equation we have:<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-8.25%29%2F%282%2A-7.3%29 ALIGN=MIDDLE  ALT=\"%28-8.25%29%2F%282%2A-7.3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = .565 sec<BR>\n" );
document.write( "Max height = -7.3(.565^2) + 8.25(.565) + 2.1,<BR>\n" );
document.write( "h = -2.33 + 4.66 + 2.1<BR>\n" );
document.write( "h = 4.43 meters max height<BR>\n" );
document.write( ":<BR>\n" );
document.write( "c) If the ball reached the hoop in 1 s, what was the height of the hoop?<BR>\n" );
document.write( "Substitute 1 for t, find h<BR>\n" );
document.write( "h =-7.3(1^2) + 8.25(1) + 2.1<BR>\n" );
document.write( "h =-7.3 + 8.25 + 2.1<BR>\n" );
document.write( "h = 3.05 meters\r<BR>\n" );
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document.write( " </SPAN>\n" );
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