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Question by SSSunset · Dec 21, 2021 at 03:07 PM · 2dphysicsvelocity

Physics in 2d arkanoid. Tangential and normal velocity

2d arkanoid, we have 1 ball. It is necessary to randomly set its normal and tangential velocity at the beginning. I couldn't figure out the physics. If you look at the formulas, then the normal velocity is as follows:

  float radius = Random.range(0.5f, 3f); 
  float normalVelocity = Mathf.Pow(rigidbody2d.velocity, 2) / radius

Even if I found the normal and tangential velocity, how do I apply this to the ball in unity? So far, I've only thought of

 rigidbody2d.velocity = new Vector2(normalVelocity, tangentialVelocity );



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Answer by petur · Dec 21, 2021 at 03:38 PM

rigidbody2d.velocity is just the velocity on each axis

I don't see the need to get the concepts of tangential and normal velocity involved, since the ball is going to move in a straigth line (right?).

You either need an angle and a single velocity or the velocity in each axis.

Example angle and velocity:

 float angle = Random.Range(-45f,45f);
 angle = (angle * Mathf.PI) / 180f; // convert degrees to radians
 float speed = Random.Range(2f,3f);
 
 float horizontalSpeed = Mathf.Cos(angle) * speed:
 float verticalSpeed = Matf.Sin(angle) * speed;
 
 rigidbody2d.velocity = new Vector2( horizontalSpeed, verticalSpeed );
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