ScoreInfo.cs

    public Vector2 targetPos;
    public float moveSpeed = 10; // How fast the text scrolls up
    public float fadeOutTime = 2; // When to start fading out

    private float timeRemaining;

	void Start ()
	{
	    timeRemaining = fadeOutTime;
	}
	
	void Update ()
	{
        // Move text up the screen
	    Vector2 pos = GetComponent<RectTransform>().anchoredPosition;
        if (pos.y < targetPos.y)
        {
            GetComponent<RectTransform>().anchoredPosition = new Vector2(pos.x, pos.y + (float)(moveSpeed * Time.deltaTime));
        }

        // Begin fading out as we get near the end
	    if (targetPos.y - pos.y < fadeOutTime * moveSpeed)
	    {
            timeRemaining -= Time.deltaTime;
            // Fade out
            Color color = gameObject.GetComponent<Text>().color;
            color.a = ((timeRemaining / fadeOutTime) * 2);
            gameObject.GetComponent<Text>().color = color;
        }

	    if (timeRemaining <= 0)
	    {
	        Destroy(gameObject);
	    }
	}

    void OnDestroy()
    {
        GameObject.Find("Score").GetComponent<ScoreManager>().RemoveScoreInfo(gameObject);
    }