document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1027397>Question 1027397</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A golf ball is hit and flies a horizontal distance of 180 m reaching a maximum height of 30 m. \r<BR>\n" );
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document.write( "a. Draw a sketch of the function and find the equation of its height (h) as a function of the horizontal distance (d) that it has travelled. \r<BR>\n" );
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document.write( "b. What is the height of the ball after its travelled 25 m horizontally (2 decimal places)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #642593 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=642593\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A golf ball is hit and flies a horizontal distance of 180 m reaching a maximum height of 30 m. \r<BR>\n" );
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document.write( "a. Draw a sketch of the function and find the equation of its height (h) as a function of the horizontal distance (d) that it has travelled. \r<BR>\n" );
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document.write( "Use graph paper.<BR>\n" );
document.write( "Plot the points (0,0) and (180,0), the start and end of the flight.<BR>\n" );
document.write( "Add the point (90,30).<BR>\n" );
document.write( "Draw an approximation of a parabola thru the 3 points.<BR>\n" );
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document.write( "To find the function:<BR>\n" );
document.write( "You have 3 points listed above.<BR>\n" );
document.write( "It'll be y = ax^2 + bx + c<BR>\n" );
document.write( "Sub the x & y for each point.<BR>\n" );
document.write( "0 = a*0 + b*0 + c -- > c = 0<BR>\n" );
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document.write( "30 = a*90^2 + 90b<BR>\n" );
document.write( "8100a + 90b = 30<BR>\n" );
document.write( "270a + 3b = 1  Eqn A<BR>\n" );
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document.write( "0 = a*180^2 + 180b<BR>\n" );
document.write( "180a + b = 0<BR>\n" );
document.write( "540a + 3b = 0<BR>\n" );
document.write( "270a + 3b = 1  Eqn A<BR>\n" );
document.write( "------------------------------ Subtract<BR>\n" );
document.write( "270a = -1\r<BR>\n" );
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document.write( "a = -1/270<BR>\n" );
document.write( "b = -180a = 2/3<BR>\n" );
document.write( "--> y = -x^2/270 + 2x/3<BR>\n" );
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document.write( "b. What is the height of the ball after its travelled 25 m horizontally (2 decimal places)?<BR>\n" );
document.write( "Estimate the y value at x = 25.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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