document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1011969>Question 1011969</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The equation of the path of a cricket ball thrown at an angle of 45 degrees to the horizontal is y = x - x^2/50, where x and y are the horizontal distance travelled and the vertical height respectively. Calculate the greatest vertical height reached and the horizontal distance travelled.\r<BR>\n" );
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document.write( "What i have done so far:\r<BR>\n" );
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document.write( "y = x - x^2/50<BR>\n" );
document.write( "50y = 50x - x^2<BR>\n" );
document.write( "      = -(x^2 - 50x) + 0<BR>\n" );
document.write( "      = - (x-25)^2 + 625\r<BR>\n" );
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document.write( "Therefore greatest height would be 625 divided by 50 which is 12.5, and that answer is correct.\r<BR>\n" );
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document.write( "But I don't know how to get horizontal distance???<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #627815 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=627815\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "When the height (y)=0, the ball is at minimum or maximum distance<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x-x%5E2%2F50 ALIGN=MIDDLE  ALT=\"y=x-x%5E2%2F50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let y=0:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=x-x%5E2%2F50 ALIGN=MIDDLE  ALT=\"0=x-x%5E2%2F50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=50x-x%5E2 ALIGN=MIDDLE  ALT=\"0=50x-x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=%28x%29%2850-x%29 ALIGN=MIDDLE  ALT=\"0=%28x%29%2850-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=OR ALIGN=MIDDLE  ALT=\"OR\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50-x=0 ALIGN=MIDDLE  ALT=\"50-x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=OR ALIGN=MIDDLE  ALT=\"OR\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50=x ALIGN=MIDDLE  ALT=\"50=x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The minimum horizontal distance (start) is 0,<BR>\n" );
document.write( "the maximum horizontal distance (ball hits ground) is 50.<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );