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People have been crushed and killed just when their stopped car starts moving because it wasn't parked in gear or with their parking brake engaged.

Speed being "slow" or "fast" here is unrelated.

Of course speed is related to safety. See page 2 for the actual data:

My point, however, was that the parent poster didn't seem to think so.

Anton Yelchin

Exactly who I was thinking of as a well-known example.