document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=93157>Question 93157</A>: <I><SPAN STYLE=\"word-break: break-all;\"> formula for arc of a baseball   h=-0.003x2(to 2nd power)+ 1.202x + 3.936\r<BR>\n" );
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document.write( "h-height of ball  at distance from plate x   If fence is 400ft from home plate and 8ft high, will the ball clear the fence to be a home run?\r<BR>\n" );
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document.write( "Thank You in Advance<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 #67815 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=67815\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+-0.0032x%5E2+%2B1.202x+%2B+3.936 ALIGN=MIDDLE  ALT=\"h+=+-0.0032x%5E2+%2B1.202x+%2B+3.936\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "This equation gives the height of the ball when the ball is x feet from home plate.<BR>\n" );
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document.write( "So when x is 400 feet (the distance from home plate to the fence) the height of the ball<BR>\n" );
document.write( "is found by substituting 400 for x to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+-0.0032%28400%5E2%29+%2B+1.202%28400%29+%2B+3.936 ALIGN=MIDDLE  ALT=\"h+=+-0.0032%28400%5E2%29+%2B+1.202%28400%29+%2B+3.936\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The rest is just calculator work. Note that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=400%5E2+=+160000 ALIGN=MIDDLE  ALT=\"400%5E2+=+160000\"   DISABLED_style= \"max-width:90%; height:auto;\" > and if you substitute<BR>\n" );
document.write( "that the equation is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+-0.0032%28160000%29+%2B+1.202%28400%29+%2B+3.936 ALIGN=MIDDLE  ALT=\"h+=+-0.0032%28160000%29+%2B+1.202%28400%29+%2B+3.936\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Do the two multiplications on the right side and you get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+-512+%2B+480.8+%2B3.936 ALIGN=MIDDLE  ALT=\"h+=+-512+%2B+480.8+%2B3.936\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Then do the additions on the right side and the answer is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+-27.264 ALIGN=MIDDLE  ALT=\"h+=+-27.264\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "How do you interpret this negative answer? The answer is that the ball hits the ground<BR>\n" );
document.write( "even before it reaches the wall. In fact, if the ground did not stop it, the ball would<BR>\n" );
document.write( "be 27.264 feet below ground level when it reached the 400 feet length to the wall.<BR>\n" );
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document.write( "So that’s the answer … the ball doesn’t even come close to clearing the wall. If you<BR>\n" );
document.write( "want to know how far from the plate the ball hits the ground, you can use the given<BR>\n" );
document.write( "equation to find the distance. Set h = 0 and solve for x. Since this isn’t part of the problem,<BR>\n" );
document.write( "you can try it and see if you can solve the equation for x.  The answer is you should get is<BR>\n" );
document.write( "378.87 feet. So the ball falls more than 21 feet short of even reaching the fence, and it<BR>\n" );
document.write( "isn’t even close to clearing the 8 foot fence.<BR>\n" );
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document.write( "Hope this helps you to understand the problem.\r<BR>\n" );
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