A beam of alpha particles is a monokinetic beam. This means that all the particles have the same energy in them and so their ionizing abilities is the same for all; this can be seen when tracks of alpha particles are viewed in a bubble/cloud chamber i.e. the length of the tracks are all the same.
Basically as they all have the same energy, the distance they can reach up to is the same therefore when this distance is exceeded, it all stops all of a sudden.