magnetic flux cut by a magnet
Yes, North and South poles will be attracted to each other. More when they're close together and aligned, than when they're far apart. As is normal for magnets.

The velocity of the magnet has no effect on the force. The force is the same at any velocity. *

The trajectory of the moving magnet will be affected less if it's moving faster, as the force acts for less time.


there could be eddy current effects if the magnets are electrically conductive. These would cause drag which increases with velocity.