In terms of image quality, it should be fine, however the D3000 has been reviewed as one of the slowest cameras Nikon have made (I've not used it myself so I can't add first hand comments) so you may need to use some anticipation and press the shutter a little in advance of when you think you want to take the image.
In my experience, a 70-300 is a good zoom range. Problem is, you need both a fast shutter speed (to freeze the action) and a small aperture (to try and get things in focus as the autofocus has to work hard to track a fast moving object).
Shutter speeds of 1/400th to 1/1000th or even faster and around f8 seem to work most of the time for me which means you need plenty of light and up the film speed (ISO) a bit.
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