document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1044693>Question 1044693</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An artillery shell is fired with an initial velocity of 100 m/s at an angle of 30 degrees above the horizontal. Find:<BR>\n" );
document.write( "a.) its position and velocity after 8 sec<BR>\n" );
document.write( "b.) the time required to reach its maximum height<BR>\n" );
document.write( "c.) The horizontal distance </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #660179 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=660179\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An artillery shell is fired with an initial velocity of 100 m/s at an angle of 30 degrees above the horizontal.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Using 10 m/sec/sec as gravity:<BR>\n" );
document.write( " Find:<BR>\n" );
document.write( "a.) its position and velocity after 8 sec<BR>\n" );
document.write( "The horizontal component = 100*cos(30) =~ 86.6 m/sec<BR>\n" );
document.write( "The vertical component = 100*sin(30) = 50 m/sec<BR>\n" );
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document.write( "h(t) = -5t^2 + 50t<BR>\n" );
document.write( "h(8) = 80 meter AGL (height)<BR>\n" );
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document.write( "The horizontal distance from the muzzle = 8*86.6 = 692.8 meters<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Horizontal speed is constant = 86.6 m/sec<BR>\n" );
document.write( "Vertical speed = 50 - 10t = -30 m/sec (descending)<BR>\n" );
document.write( "Its speed is the vector sum:<BR>\n" );
document.write( "= sqrt(86.6^2 + 30^2) =~ 91.65 m/sec<BR>\n" );
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document.write( "b.) the time required to reach its maximum height<BR>\n" );
document.write( "50/10 = 5 seconds<BR>\n" );
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document.write( "c.) The horizontal distance<BR>\n" );
document.write( "Flight time = 10 seconds<BR>\n" );
document.write( "H distance = 86.6*10 = 866 meters<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );