Legacy Documentation: Version 5.2
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Mathf.SmoothDamp

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public static function SmoothDamp(current: float, target: float, ref currentVelocity: float, smoothTime: float, maxSpeed: float = Mathf.Infinity, deltaTime: float = Time.deltaTime): float;
public static float SmoothDamp(float current, float target, ref float currentVelocity, float smoothTime, float maxSpeed = Mathf.Infinity, float deltaTime = Time.deltaTime);
public static function SmoothDamp(current: float, target: float, ref currentVelocity: float, smoothTime: float, maxSpeed: float = Mathf.Infinity, deltaTime: float = Time.deltaTime): float;
public static float SmoothDamp(float current, float target, ref float currentVelocity, float smoothTime, float maxSpeed = Mathf.Infinity, float deltaTime = Time.deltaTime);
public static function SmoothDamp(current: float, target: float, ref currentVelocity: float, smoothTime: float, maxSpeed: float = Mathf.Infinity, deltaTime: float = Time.deltaTime): float;
public static float SmoothDamp(float current, float target, ref float currentVelocity, float smoothTime, float maxSpeed = Mathf.Infinity, float deltaTime = Time.deltaTime);

Parameters

current The current position.
target The position we are trying to reach.
currentVelocity The current velocity, this value is modified by the function every time you call it.
smoothTime Approximately the time it will take to reach the target. A smaller value will reach the target faster.
maxSpeed Optionally allows you to clamp the maximum speed.
deltaTime The time since the last call to this function. By default Time.deltaTime.

Description

Gradually changes a value towards a desired goal over time.

The value is smoothed by some spring-damper like function, which will never overshoot. The function can be used to smooth any kind of value, positions, colors, scalars.

	// Smooth towards the height of the target

	var target : Transform;
	var smoothTime = 0.3;
	private var yVelocity = 0.0;
	
	function Update () {
		var newPosition : float = Mathf.SmoothDamp(transform.position.y, target.position.y,
		                             yVelocity, smoothTime);
		transform.position = Vector3(transform.position.x, newPosition, transform.position.z);
	}
using UnityEngine;
using System.Collections;

public class ExampleClass : MonoBehaviour {
    public Transform target;
    public float smoothTime = 0.3F;
    private float yVelocity = 0.0F;
    void Update() {
        float newPosition = Mathf.SmoothDamp(transform.position.y, target.position.y, ref yVelocity, smoothTime);
        transform.position = new Vector3(transform.position.x, newPosition, transform.position.z);
    }
}
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