Pulling a player into an object

Hi guys!

Situation: I'm trying to create objects (in C++) that pull in a player once the player gets too close to it - kinda like a gravitational force. I call those objects "Anti-Objects", because it's awesome. I've managed to do this, very roughly, but I'm stuck with two problems:

1. There isn't any proper interpolation between the different setPosition() calls within the processTick()
2. Right now I'm brute-forcing the pull, so the player just gets assigned a new position, without checking for collision.

Question is, how would I fix those issues? I searched for both, but came out empty handed. Right now my "applyAntiObject()" code looks like this:

// do parent
	Parent::applyAntiObject(antiobject, distNorm);

	// get vectors
	Point3F antiObjectPos = antiobject->getPosition();
	Point3F myPos = getPosition();

	// offset the z-axis to create a centroid vector on PENIS HEIGHT (lol)
	myPos.z += 2;
	antiObjectPos.z += 2;

	Point3F dir	= antiObjectPos - myPos;
	dir.normalize();

	// Are we even seeing this?
	static RayInfo vRay;
	if(gServerContainer.castRay(myPos, antiObjectPos, StaticTSObjectType, &vRay))
	{
		// make sure we're not seeing the object itself
		if(vRay.object != antiobject)
			return;
	}

	// Traffic Light
	if(antiobject->getTypeMaskUT() == UTAntiObject::TrafficLight)
	{
		// cast trafficlight
		UTAntiObjectTrafficLight* trafficlight = dynamic_cast<UTAntiObjectTrafficLight*>(antiobject);
		
		// check if we're infront of the traffic light in a 100 degree cone, with the forward vector as the middle of that cone
		Point3F forwardVector = trafficlight->getTransform().getForwardVector();
		F32 dot	= mDot(forwardVector, dir);
		F32 angleX = mAcos(-dot) * 57.2957795130823208768f;

		// if within the effect cone
		if(angleX >= -50 && angleX <= 50)
		{
			// prevent division by zero
			if(distNorm == 0.0f) distNorm = 0.1f;

			// apply the attraction to the character
			trafficlight->applyAttractionToCharacter(this, dir, distNorm);

			// are we within range? if so, play sequence
			Point3F distToObject = antiObjectPos - myPos;
			if(distToObject.lenSquared() < trafficlight->getEffectMinRadius())
			{
				// SCRIPT! - cause I dont know how schedule works in C++ :(
			}
		}
	}

In short: I check if the player can see the object, if so I get a direction vector between the object and the player and use the strength of the attraction based on the normalized distance between the player and the object. Using the following function I apply the force to the player:

applyAttractionToCharacter

void UTAntiObject::applyAttractionToCharacter( UTCharacter* character, Point3F& direction, F32 distNorm )
{
	Point3F charPos = ((this->getEffectMass() * 0.981f) / (this->getEffectRadius() * this->getEffectRadius())) * (direction - (direction * distNorm));
	character->setPosition(character->getPosition() + charPos, character->getRotation());
}

Using standard physics formulas. It works, but the movement is very rigid as the position gets set in the processTick() which is run server-side every 32ms as we all know.

I tried many approaches to interpolating the new position, but it just didn't work so I removed it again. If anyone could help me with this, thanks!