document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=571501>Question 571501</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a ball is thrown so that it starts out horizontally. it drops 0.3 m in going and 3 m horizontally. (a) how far does it drop in going 6 m horizontally? (2) how far horizontally does it go in dropping 2.5 m? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #368090 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5397)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=368090\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Physics textbooks show that the trajectory of a ball that rolls of a table is a parabola with drop proportional to the square of the horizontal distance.<BR>\n" );
document.write( "Let x be the horizontal distance covered as the ball is dropping (in m).<BR>\n" );
document.write( "Let y be the drop distance (in m).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=kx%5E2 ALIGN=MIDDLE  ALT=\"y=kx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substituting y=0.3 and x=3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.3=k%2A3%5E2 ALIGN=MIDDLE  ALT=\"0.3=k%2A3%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.3=9k ALIGN=MIDDLE  ALT=\"0.3=9k\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=0.3%2F9 ALIGN=MIDDLE  ALT=\"k=0.3%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=1%2F30 ALIGN=MIDDLE  ALT=\"k=1%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(a) for x=6, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F30%296%5E2 ALIGN=MIDDLE  ALT=\"y=%281%2F30%296%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=36%2F30 ALIGN=MIDDLE  ALT=\"y=36%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1.2 ALIGN=MIDDLE  ALT=\"y=1.2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The ball drops 1.2 m as it moves 6 m horizontally.<BR>\n" );
document.write( "(b) for y=2.5 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.5=%281%2F30%29x%5E2 ALIGN=MIDDLE  ALT=\"2.5=%281%2F30%29x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=30%2A2.5 ALIGN=MIDDLE  ALT=\"x%5E2=30%2A2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=75 ALIGN=MIDDLE  ALT=\"x%5E2=75\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5sqrt%283%29 ALIGN=MIDDLE  ALT=\"x=5sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = approximately 8.7<BR>\n" );
document.write( "The ball has moved 8.7 m horizontally as it dropped 2.5 m.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );