With decorations.markings you can transport the plane along any path and it will always be rotated to be a tangent of the path (without you having to do that manually).
\documentclass[ignorenonframetext]{beamer}
\usepackage{fontawesome}
\mode<presentation>
{\usetheme{Singapore}
\setbeamercovered{transparent}
}
\usepackage[english]{babel}
\usepackage{tikz}
\usetikzlibrary{decorations.markings,calc}
\title{Beamer Example}
\author{Author}
\subject{Presentation Programs}
\institute[ University]{
Department of XZ\\
University}
\newcount\myangle
\begin{document}
\section{Outline}
\begin{frame}[t]
\frametitle{Example}
\transduration{4}
\animate<2-21>
\animatevalue<2-21>{\myangle}{0}{19}
\begin{tikzpicture}
\tikzset{pics/.cd,
plane/.style={code={\fill (-0.6,0.2) -- (-0.5,0) -- (-0.6,-0.2)
-- (-0.4,-0.2) -- (-0.3,-0.1)-- (-0.1,-0.15) -- (-0.2,-0.5) -- (00.05,-0.5)
-- (0.15,-0.2) to[out=0,in=-90] (0.5,0) to[out=90,in=180] (0.15,0.2)
-- (00.05,0.5) -- (-0.2,0.5) -- (-0.1,0.15) -- (-0.3,0.1) -- (-0.4,0.2); }}}
\path[use as bounding box] (-5.5,-4.5) rectangle (2.5,3.5);
\draw[postaction={decorate,decoration={markings,
mark=at position \myangle/20 with {\path let \p1=($(current bounding
box.east)-(current bounding box.west)$),
\n1={-atan2(\y1,\x1)} in pic[rotate=\n1]{plane};}}}] (-5,0) to (2,0) arc(90:-180:2)
--++(0,5);
\end{tikzpicture}
\end{frame}
\end{document}
This uses the beamer built-in animation facilities (as in Hafid's answer), but can be combined with \animateinline (see Raaja's answer and AlexG's answer).
The animated gif was created via
convert -density 300 -delay 34 -loop 0 -alpha remove multipage.pdf animated.gif
as explained in this great answer.
Or a 3D like version where the plane flies out of the beamer plane. (Before giving the presentation, please contact the organizers for a safety briefing. ;-)
\documentclass[ignorenonframetext]{beamer}
\mode<presentation>
{\usetheme{Singapore}
\setbeamercovered{transparent}
}
\usepackage[english]{babel}
\usepackage{tikz}
\usetikzlibrary{decorations.markings,calc}
\title{Beamer Example}
\author{Author}
\subject{Presentation Programs}
\institute[ University]{
Department of XZ\\
University}
\newcount\mydist
\begin{document}
\section{Outline}
\begin{frame}[t]
\frametitle{Example}
\transduration{4}
\animate<2-22>
\animatevalue<2-22>{\mydist}{0}{20}
\begin{tikzpicture}
\tikzset{pics/.cd,
plane/.style={code={\fill (-0.6,0.2) -- (-0.5,0) -- (-0.6,-0.2)
-- (-0.4,-0.2) -- (-0.3,-0.1)-- (-0.1,-0.15) -- (-0.2,-0.5) -- (00.05,-0.5)
-- (0.15,-0.2) to[out=0,in=-90] (0.5,0) to[out=90,in=180] (0.15,0.2)
-- (00.05,0.5) -- (-0.2,0.5) -- (-0.1,0.15) -- (-0.3,0.1) -- (-0.4,0.2); }}}
\path[use as bounding box] (-5.25,-4.5) rectangle (2.25,3.5);
\draw[postaction={decorate,decoration={markings,
mark=at position \mydist/20 with {\path let \p1=($(current bounding
box.east)-(current bounding box.west)$),
\n1={-atan2(\y1,\x1)} in (0,0)
pic[rotate=\n1,scale={0.3+0.7*sin(9*\mydist)},gray!20]{plane}
(${0.01+0.04*sin(9*\mydist)}*($(current bounding
box.north east)-(current bounding box.south west)$)$)
pic[rotate=\n1,scale={0.3+0.7*sin(9*\mydist)}]{plane};}}}] (-5,0) to (2,0) arc(90:-180:2)
--++(0,5);
\end{tikzpicture}
\end{frame}
\end{document}
