You have a long curved metal tube and a miniature golf ball that you knock into one end and out the other. How does the ball move after it leaves the tube?
Now, if we take a smooth, spherical object like a bowling ball, and press a sheet of tinfoil down on it so the foil touches the ball’s surface at all points, the curvature of the ball would be easily seen in the curved shape of the tinfoil when removed.