Okay so the ball is the international space station and you're a ship that has to dock onto it. you must quickly accelerate to the point of contact with the ball so you don't miss the window of opportunity, but then you must slow down at the last second as to not destroy the space station. give boost to get close to ball right after wall touch, get close than feather that boost for a SOFT docking with the spacestation. like butter. once you have docked you can push it anywhere.