The "correct" shutter speed under such conditions is dependent upon the angle of view - from you to the subject. If the subject is travelling across your field of view, you will need a 1/1000 of a shutter speed or higher - depending upon whether your camera has a shutter speed of 1/2000 or higher.
If, however, your field of view is such that the subject is coming at your camera diagonally, you should be able to make use of either 1/500 or 1/1000 shutter speeds.
If your field of view is such that the subject is coming at your camera nearly directly, you could even make use of 1/125 shutter speed.
Decades ago, one of our customers took photographs of motocycle races using Kodachrome 25, a Leicaflex SL II Mot (motorized) with the 400mm Telyt F/6.8. Because of the angle of view, Bob was able to use 1/125 shutter speed with the lens wide open. His slides were extraordinarly sharp and exhibited no blur or camera movement.
For your "homework" assignment, you might wish to take a look at some of the older, but still excellent books on photography, such as The Leica Way by Mathison or The Pentax Way by Keppler. I am sure that there are other titles available at your local public library or bookstore.
A recent and excellent book on photography by the editors of National Geographic might have some useful information. If you have a Border's or Barnes & Noble store nearby - check out this book and/or other titles.
Hope this is useful.
Bill