A great example shown by some UFO show was a side camera from the space shuttle. The footage has a nice curvature of the earth, with lot's of little specks that seem to be orbiting it way out in the distance. You see a maneuvering thruster fire then in slow motion a few heartbeats later these specks shoot off in a new direction.
Now, if you assume they where large objects far away they must have been moving incredibly quickly and have insane acceleration. However, if you realize they are flecks of paint etc/ near the shuttle pushed out of the way by the maneuvering thruster then they where not actually moving fast relative to the shuttle at any point.