WOW!! your daughter is lucky to have reacted very reacted very quickly! I am glad she is ok!
I have a similar problem with DS's bus driver. I have actually called the school and bus company to complain about this but for some reason it keeps happening.
Anyway, DS's bus driver will start driving away when the kids are still standing up!

I am scared that my kid or someone else's kid will get hurt. This is the same lady who has a lead foot when driving, BTW. Several times she has had to slam on the brakes at our bus stop! Our road is 25 MPH.
I know other parents at the stop have talked to her but their words must have fallen on deaf ears.
What happened to BUS SAFETY? They stress it with the kids but what about the drivers? Not only that but, in R.I. they have bus monitors. Here in Ct they do not!