: Is an object’s velocity a factor in the amount of distortion excerpted on the object by the tidal forces near a black hole’s event horizon.

Tidal Forces are not frame invariant, so it depends on whose coordinate frame you use to determine the tidal force on the object. If you strictly use a remote observer frame then the answer is yes. If the object is in free fall and is small enough compared to the size of the hole(its a local inertial frame), the tidal force will exist in a remote observer's coordinate frame, but vanish when transforming to the strict use of the object's coordinate frame. So, more simply put, as long as the object is small and in free fall the object will not experience any significant tidal forces near the event horizon whatever speed it was falling in.

Introduction of an external force plays a more important role on the object's experiencing of tidal forces. Trying to get an object to hover near the event horizon becomes an infinitely impossible task as it is lowered to the event horizon. If it is held still, it is no longer a local inertial frame and the tidal force according to the strict use of the object frame becomes infinite on the horizon. In other words if someone was held still by their head near the event horizon the tidal force would stretch them apart. Spaghettification.