Speed of a driver is determined by one thing only and that is by how high a frequency it can reproduce. The higher the frequency, the faster the driver. Tubby or boomy bass (slow decay of the bass notes in your room) is an acoustics issue.
Not sure what you mean by slap since there is an actual slap bass technique used by some players that is heard in the upper midrange but if you are referring to chest thump, sometimes referred to as impact or impulse, that is created by the kick drum and is a matter of getting enough power to the correct frequencies in the 35 to 50 hz range.