Greetings,
Motorsports will not be a problem. The 100-500 will work great. Swimming should be ok as well. If it's indoor, the venue needs to be well lit. The challenge here will be using a fast enough shutter to freeze the action. If possible, a tripod would be helpful in either situation. For your own comfort and steadiness. For shorter distances indoors a 70-200 f2.8 should also be considered.
~Rick
Bay Area - CA
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