document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1044696>Question 1044696</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A football is kicked at an angle of 37 degrees with a velocity of 20 m/s. Calculate:<BR>\n" );
document.write( "a.) Maximum height<BR>\n" );
document.write( "b.) The time of travel before the ball hits the ground<BR>\n" );
document.write( "c.) The range<BR>\n" );
document.write( "d.) The velocity vector at the maximum height<BR>\n" );
document.write( "e.) The acceleration vector at the maximum height </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #660041 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=660041\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A football is kicked at an angle of 37 degrees with a velocity of 20 m/s.<BR>\n" );
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document.write( "You didn't spec the Earth's gravitational acceleration.<BR>\n" );
document.write( "I'll use 10 m/sec/sec<BR>\n" );
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document.write( "Calculate:<BR>\n" );
document.write( "a.) Maximum height<BR>\n" );
document.write( "Vertical component Vv = 20*sin(37) =~ 12.036 m/sec<BR>\n" );
document.write( "Flight time = 12.036*2/10 = 2.407 seconds<BR>\n" );
document.write( "---<BR>\n" );
document.write( "h(t) = -5t^2 + 12.036t<BR>\n" );
document.write( "Max is the vertex @ t = -b/2a = 12.036/10 = 1.2036 seconds<BR>\n" );
document.write( "h(1.2036) = 7.243 meters Max height<BR>\n" );
document.write( "=============================<BR>\n" );
document.write( "b.) The time of travel before the ball hits the ground<BR>\n" );
document.write( "2.407 seconds<BR>\n" );
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document.write( "c.) The range<BR>\n" );
document.write( "Horizontal component = 20*cos(37) =~ 15.973 m/sec<BR>\n" );
document.write( "range = 15.973*2.407 = 38.45 meters<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "d.) The velocity vector at the maximum height<BR>\n" );
document.write( "= Horizontal component at angle zero (no vertical speed)<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "e.) The acceleration vector at the maximum height<BR>\n" );
document.write( "= -5 m/sec/sec at all times until impact </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );