document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=200557>Question 200557</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/032135690x/algebrahomeworkh>Trigonometry</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Hi,<BR>\n" );
document.write( "I'm not sure if I'm doing this right, here's the question in its entirety: \r<BR>\n" );
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document.write( "The 8-in(diameter) Howitzer on the U.S. Army's M110 can propel a projectile a distance of 18,500yd. If the angle of elevation of the barrel is 45 degrees, then what muzzle velocity (in feet per second) is required to achieve this distance?\r<BR>\n" );
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document.write( "I'm using the formula: Vo2 sin 2(theta) = 32(distance). I've converted the 18,500yd to 55,500 feet. I don't see a use for the 8-in diameter value. \r<BR>\n" );
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document.write( "step 1: Vo2 sin(90) = 32(55,5000\r<BR>\n" );
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document.write( "step 2: Vo2 * 1 = 1,776,000\r<BR>\n" );
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document.write( "step 3: Vo2 = 1,776,000\r<BR>\n" );
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document.write( "step 4: Vo = 1,333 feet/sec\r<BR>\n" );
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document.write( "I don't know if I'm using the formula correctly or not. Any help would be gratefully received.\r<BR>\n" );
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document.write( "Thanking you in advance, Lynn </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #150873 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=150873\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The 8-in(diameter) Howitzer on the U.S. Army's M110 can propel a projectile a distance of 18,500yd. If the angle of elevation of the barrel is 45 degrees, then what muzzle velocity (in feet per second) is required to achieve this distance?<BR>\n" );
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document.write( "Max distance (at 45 degs) = v^2/g (this can be derived, if you're interested)<BR>\n" );
document.write( "d = 55500 feet<BR>\n" );
document.write( "v^2 = 55500*32 = 1776000<BR>\n" );
document.write( "v = ~ 1332.66 ft/sec<BR>\n" );
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document.write( "The shell diameter doesn't matter, nor the weight of the projectile.<BR>\n" );
document.write( "This is assuming no air friction, as usual.  Physics occurs in a frictionless vacuum. </SPAN>\n" );
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