Moving the player to the mouse position.

Question

I have a question about moving and animated player symbol to the mouse location on a MouseDown event. Right now I have it set up to do an easing so that I can control how fast the player moves to the location. Problem is that it is done with easing. I don' t like the easing because the velocity of starts really fast and then slows down before it reaches the mouseX and mouseY location. I would like just a plain ol' stroll from the player location to the mouse location on the MouseDown event. Here is my code:
package
import flash.display.MovieClip;
import flash.events.Event;
import flash.events.MouseEvent;
public class PlayerToMouse extends MovieClip
  //Declare constants
  private const EASING:Number = 0.1;
  //Declare variables
  private var _targetX:Number;
  private var _targetY:Number;
  private var _vx:Number;
  private var _vy:Number;
  public function PlayerToMouse()
   player.gotoAndStop(1);
   //Initialize variables
   _targetX = mouseX;
   _targetY = mouseY;
   _vx = 0;
   _vy = 0;
   //Add event listeners
   stage.addEventListener(MouseEvent.MOUSE_DOWN, onMouseDown);
  private function onEnterFrame(event:Event):void
   player.play();
   //Calculate the distance from the player to the mouse
   var dx:Number = _targetX - player.x;
   var dy:Number = _targetY - player.y;
   var distance = Math.sqrt(dx * dx + dy * dy);
   //Move the object if it is more than 1 pixel away from the mouse
   if (distance >= 1)
    //move the player
    _vx = (_targetX - player.x) * EASING;
    _vy = (_targetY - player.y) * EASING;
    //move the player
    player.x +=  _vx;
    player.y +=  _vy;
   else
    player.gotoAndStop(1);
    trace("Player reached target");
    removeEventListener(Event.ENTER_FRAME,onEnterFrame);
  private function onMouseDown(event:Event):void
   _targetX = mouseX;
   _targetY = mouseY;
   addEventListener(Event.ENTER_FRAME,onEnterFrame);
Any input would be appretiated. I am a beginner and my mindset for the best coding procedure is not there yet.
Shiim

Answer 1

I didn't exactly figure in the constants of _vx and _vy, but I took a bit of your idea and created something that works to my liking. The downfall to my code is that the calculations in the onEnterFrame causes the player to not fully reach the destination, thus the animation never stops. I forced it to stop with an if statement that comes close enough to not be noticeable.
Here is the edited code:
if (distance >= 1)
    _vx = (dx /30);
    _vy = (dy /30);
    //move the player
    player.x +=  _vx;
    player.y +=  _vy;
    if (distance <= 15)
     _vx = 0;
     _vy = 0;
     player.gotoAndStop(4);
     removeEventListener(Event.ENTER_FRAME,onEnterFrame);
Thanks for the input Ned.
If anyone has any ideas to make this better, feel free to comment. I'm a beginner and can use all the advice I can get...
Shiim