When you change from a hawk to an elefant I would say you go from flying to jumping, you can't really steer, but if you aim is good then it is fine.
I guess he could either be projecting his own force to keep the speed the same or be drawing in mass that is already moving, like grapping an apple while driving a bike, from another guy who is also driving a bike.
If Harry takes shape shifting lessons from River Shoulders maybe we will find out which one it is.