Unity::Bezier curve degree 3

BezierCurveDegree3.cs

using UnityEngine;
using System.Collections;

public class BezierCurveDegree3 : MonoBehaviour {

	public Vector3 m_startPoint;
	public Vector3 m_endPoint;
	public float m_time = 5.0f;
	public float m_height = 1.0f;

	private Vector3 m_controlPoint1;
	private Vector3 m_controlPoint2;
	private float m_bezierTime;
	// Use this for initialization
	void Start () {
		m_bezierTime = 0.0f;
		m_controlPoint1 = m_startPoint + new Vector3(0,m_height,0);	
		m_controlPoint2 = m_endPoint + new Vector3(0,m_height,0);
	}
	
	// Update is called once per frame
	void Update () {
		m_bezierTime+=Time.deltaTime;
		float t = m_bezierTime/m_time;
		if (t<1) {
			float u = 1-t; 
	  		Vector3 p = m_startPoint*u*u*u; //first term
	  		p += 3 * u * u * t * m_controlPoint1 ; //second term
	  		p += 3 * u * t * t * m_controlPoint2 ; //second term
	  		p += m_endPoint*t*t*t; //third term
	  		transform.position = p;
  		}
	}
}