Kubota L3830GST, B7500HST, BX2660. Formerly: Case 480F LL, David Brown 880UE
Pre-cut the board (other than a little sliver) and pack the kerf with sawdust. Then you just need to hit outside of the cut (notice that the spray of sawdust is only on one side of the blade) and the whole thing will drop straight down.
I'm sure it isn't for real but they must had had a lot of fun with the filming. Wonder how many tries it took for the guy to hit that 2x4 in roughly the right spot.