document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1194654>Question 1194654</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A golfer hits his approach shot at an angle of 50° giving the ball an intial speed of 32.2 m/s. The ball lands on an elevated green,5.5 above the intial position near the surface,and stops immediately.<BR>\n" );
document.write( "    a) how much time passed while the ball was in air?<BR>\n" );
document.write( "    B) how far did the ball travel horizontally before landing?<BR>\n" );
document.write( "    c) what was the peak height reached by the ball? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #827195 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=827195\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A golfer hits his approach shot at an angle of 50° giving the ball an intial speed of 32.2 m/s. The ball lands on an elevated green,5.5 above the intial position near the surface,and stops immediately.<BR>\n" );
document.write( "    a) how much time passed while the ball was in air?<BR>\n" );
document.write( "    B) how far did the ball travel horizontally before landing?<BR>\n" );
document.write( "    c) what was the peak height reached by the ball?<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Using 10 m/sec/sec for gravity and no air resistance:<BR>\n" );
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document.write( "The vertical speed at launch is 32.2*sin(50)<BR>\n" );
document.write( "The time to max height is 32.2*sin(50)/10 = 3.22*sin(50) seconds<BR>\n" );
document.write( "c)  Max height = gt^2/2 = 5*(3.22sin(50))^2 = ~ 30.422 meters<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "h(t) = 32.2sin(50)t - 5t^2 = 5.5 meters<BR>\n" );
document.write( "5t^2 - 32.2sin(50)t + 5.5 = 0<BR>\n" );
document.write( "t = 0.234 seconds ascending thru 5.5 meters<BR>\n" );
document.write( "t = 4.6992 seconds at impact at h = 5.5 meters<BR>\n" );
document.write( "a) how much time passed while the ball was in air?<BR>\n" );
document.write( "~ 4.6992 seconds<BR>\n" );
document.write( "==========================<BR>\n" );
document.write( "Horizontal component of speed is 32.2*cos(50) =~ 20.698 m/sec<BR>\n" );
document.write( "b) how far did the ball travel horizontally before landing?<BR>\n" );
document.write( "= 20.698*4.6992 = 97.26 meters<BR>\n" );
document.write( "=====================================<BR>\n" );
document.write( "PS  Golf is boring<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );