document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199734>Question 1199734</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A basketball shot is taken from a horizontal distance of 5 m from the hoop.<BR>\n" );
document.write( "The height of the ball can be modelled by<BR>\n" );
document.write( "the relation h = - 7.3t² + 8.25t + 2.1,<BR>\n" );
document.write( "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 #833694 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=833694\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) The initial height at t=0 is h(0) = 2.1<BR>\n" );
document.write( "b) The maximum height occurs at the time where dh/dt = 0<BR>\n" );
document.write( "dh/dt = 0 = -8.25/-14.6 = 0.565 s -> h = -7.3(0.565)^2 + 8.25(0.565) + 2.1 = 4.43 m<BR>\n" );
document.write( "c) h(1) = 3.05 m </SPAN>\n" );
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