Dancing a dice in fixed location(x,z)

I am trying to make a dice animation for my little game.

When player click my dice, it is supposed to do a little jump “ONLY vertically” and stop at a random face(1-6).

My question is:

How do I restrict the animation not to change the (x,z) axis of the dice but only move along the y-axis (height) and do rotation.

Is it possible to control the dice result (e.g. specifying the face to show) while using the physics engine to do the jump animation?