What is the correct sentence for walking free without the ball

If this is basketball, I bet you mean traveling (if I read your title correctly).

For the body of your post - you are talking about two different things - it might be that someone is open? Not sure.

Yes, it's basketball.
Sorry title is wrong, it's without the ball (sorry)
So, i can say: By traveling i can acquire the ball faster

No, traveling is a violation. Do you have a YouTube video you can find which would explain what you're talking about? That would help a lot.

https://www.youtube.com/watch?v=78Z6Zu-WUa0

You see a 3v3 situation where you have to get loose of your defender by walking away from him without the ball to get the ball. What is this called?

I contacted my husband who is more likely to know the terms.

it's called "moving without the basketball"...

Thankyou! i'll use this term

You are completely free to move without the basketball. That is part of the game, and it is entirely legal.

Travelling is when you take more than a step without dribbling the ball. You can't hold onto the ball and run down the court, like in North American football.

When the other team makes a basket, and you suddenly start running toward the other team's basket leaving the other team way behind you, and your teammate throws a long inbounds pass to you which you make an easy basket with, it is called a Fast Break and coaches teach that play.