Slerp and Easing: Attempting to fire a projectile along an arc

I want a character to launch a missile at a foe, and I'm using a small missile mesh to get from one to the other. Now, if the character isn't facing the foe directly, I want the missile to fire out straight away from the character a bit before arcing toward the foe.

My original thought was to have a waypoint in between, so that the missile first moves via Lerp or MoveTowards until it reaches the waypoint, then via Slerp to the foe. However, the result is that once the missile reaches the waypoint, it turns sharply and moves in a slight arc from then on. It looks like it bounced off an invisible wall.

I've looked for some kind of simple-to-use easing function to bridge that waypoint, but I'm not finding much. I'm hoping there's a simpler way to do this then spelling out a bunch of math for how to handle the waypoint transition.

Currently, my Slerp command looks like this:

transform.position = Vector3.Slerp(transform.position,target.transform.position,mySpeed/distance * .025);

Any ideas on how to make something like this work?

Thanks in advance!

Well, I think I came up with something that seems to work ok. The following is called via the FixedUpdate:

angleAmount : float = 0.01; // this is actually set whenever the shootWaypoint is reached
if (shootWaypointReached) {
    var direction:Vector3 =  target.transform.position - transform.position;
    var targetRotation = Quaternion.LookRotation(direction);
    var angleDifference = Quaternion.Angle(transform.rotation, targetRotation);
    if (angleDifference > 0){ 
        angleAmount = Mathf.Lerp(angleAmount,.5,.005);
        fireObject.transform.rotation = Quaternion.Slerp(transform.rotation, targetRotation, angleAmount);
    }
    transform.position += (transform.forward * speed);
} 

However, I'm open to any wiser advice than this.

Might be worth trying this out:

http://unity3d.com/support/documentation/ScriptReference/Vector3.SmoothDamp.html

I haven't actually used this method before, but it's what I was planning on starting with when I write a guided missile.

I posted this answer for another similar question. Perhaps it will help you:

http://answers.unity3d.com/questions/42653/how-to-control-the-speed-of-look-at/42704#42704