document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=246811>Question 246811</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am looking for help with the following problem:\r<BR>\n" );
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document.write( "\"Cathy hit a golf ball 140 yards down the fairway.  If the ball reaches a maximum height of 20 yards, find the equation for the height of the golf ball verses the distance it has traveled.  Assume a parabolic path.\"\r<BR>\n" );
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document.write( "Thank you for your help.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #180140 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=180140\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"Cathy hit a golf ball 140 yards down the fairway. If the ball reaches a maximum height of 20 yards, find the equation for the height of the golf ball verses the distance it has traveled. Assume a parabolic path.\" <BR>\n" );
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document.write( "At time zero the height is zero so the ball starts at (0,0)<BR>\n" );
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document.write( "Vertex is (v,20)<BR>\n" );
document.write( "x intercept is (140,0) is the point the ball hits the ground.<BR>\n" );
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document.write( "The equation of the paratola is<BR>\n" );
document.write( "y = k*x(x-140)<BR>\n" );
document.write( "y = kx^2 -140kx<BR>\n" );
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document.write( "The vertex  occurs when v = -b/2a = 140k/(2k) = 70<BR>\n" );
document.write( "Vertex is (70,20)<BR>\n" );
document.write( "So, 20 = k*70(70-140) <BR>\n" );
document.write( "20 = 70k(-70)<BR>\n" );
document.write( "20 = -4900k<BR>\n" );
document.write( "k = -2/490 = -1/245<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "y = (-1/245)(x^2-140x)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C150%2C-10%2C25%2C%28-1%2F245%29%28x%5E2-140x%29%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C150%2C-10%2C25%2C%28-1%2F245%29%28x%5E2-140x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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