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Question by apapineni · Jan 14, 2021 at 02:00 AM · physicsrigidbodymathprojectile

How would one go about implementing Unreal's Suggest Projectile Velocity function in Unity?

in UE4 there's a function called SuggestProjectileVelocity which will as expected give you a direction to launch a projectile given a start location, end location, gravity, speed, and whether you want a low or high arc. I believe it also tells you if there's no solution available.

How would one go about doing this?

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Answer by apapineni · Jan 21, 2021 at 11:09 AM

So I ended up figuring this out. Could probably use some cleaning up but this is the function I am using.

 private Vector3 GetLaunchVelocity(Vector3 startPos, Vector3 targetPos, float speed, bool highArc)
 {
     Vector3 launchVelocity = Vector3.zero;
     Vector3 deltaPosition = targetPos - startPos;
     Vector3 horizontalDeltaPos = new Vector3(deltaPosition.x, 0, deltaPosition.z);
     Vector3 rotatedDeltaPosition = new Vector3(horizontalDeltaPos.magnitude, deltaPosition.y, 0);

     float angle1 = (180.0f / Mathf.PI) * Mathf.Atan((speed * speed + Mathf.Sqrt(Mathf.Pow(speed, 4) - Physics.gravity.magnitude * (Physics.gravity.magnitude * rotatedDeltaPosition.x * rotatedDeltaPosition.x + 2 * rotatedDeltaPosition.y * speed * speed))) / (Physics.gravity.magnitude * rotatedDeltaPosition.x));
     float angle2 = (180.0f / Mathf.PI) * Mathf.Atan((speed * speed - Mathf.Sqrt(Mathf.Pow(speed, 4) - Physics.gravity.magnitude * (Physics.gravity.magnitude * rotatedDeltaPosition.x * rotatedDeltaPosition.x + 2 * rotatedDeltaPosition.y * speed * speed))) / (Physics.gravity.magnitude * rotatedDeltaPosition.x));

     float minAngle = Mathf.Min(angle1, angle2);
     float maxAngle = Mathf.Max(angle1, angle2);

     float angle = highArc ? maxAngle : minAngle;

     if (!float.IsNaN(angle))
     {
         launchVelocity = Quaternion.AngleAxis(angle, Vector3.Cross(horizontalDeltaPos, Vector3.up)) * horizontalDeltaPos.normalized * speed;
     }

     return launchVelocity;
 }
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