First, you will probably want to Key out the background around the plane. Look into Chorma Key, or one of the other Keying Effects in PrE, depending on how the plane was shot, or created. If you created it, you can probably Mask out any background, and Save_As a format, that support Transparency, such as with an Alpha Channel Mask.
Then, with the plane on a higher Video Track, than your tree, use the Fixed Effect>Motion>Position to Keyframe the Position of the plane, moving it across the Frame. Steve Grisetti has a great Learning Series on Basic Keyframing and Advanced Keyframing, available at Muvipix.com: http://www.muvipix.com/products.php?searchphrase=Basic+Keyframing&btn.x=-1091&btn.y=-78
You also don't say which version of Premiere Elements you're using, but some versions include a Pan & Zoom tool that makes this process even more intuitive.
Thank you Bill and Steve.
Basic Keyframing muvipix.com is exactly what i've been looking for! I managed to make a very basic animation and i am on the right track at last
Steve - I use Premiere Elements 10 and could not find your mentioned Pan & Crop tool anywhere
Once one has the concept of Keyframing Effects down, it then becomes easy to do. Steve's series is about the best that I have seen for PrE.
Good luck, and happy editing,
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Actaully, it's called the Pan & Zoom tool, and it's used for creating motion paths -- so it may not be exactly what you're looking for. But it's launched by clicking the blue button along the tip left of the Timeline.
You can find out more about it by clicking on the tutorial on the lower left of this page.