The shortest route to the intersection

Question

I asked this question about 2 months ago, but did not find any of the answers that would be useful enough. Therefore, I give him another chance. I think it was my fault that I did not describe it well enough. So let's try again.

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Here is a rough idea of ​​what I'm trying to achieve.
The goal is to send a projectile from point T to intercept the object represented by point R.
What is known:

1. Object location R
2. Guide object R moves
3. The speed at which the object R
4. Object location T
5. The speed at which object T will travel

T , , , . .

: ...

1. R (1,5)
2. R 45 ( d)
3. R 1
4. (1,1)
5. 1

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L (3,3)

Answer 1

. R T, , . , - , T - , T . , , R T , , T , R.

Answer 2

, , , , ..

, R = (x, y) T = (0, 0). ( , T .)

, T (cos & theta;, sin & theta;), & theta; , . ( , 1.)

, R (v, 0). ( , .)

, t . , 2 2 :

• t cos & theta; = x + vt
• t sin & theta; = y

, ,

• t ²= (x + vt) ² + y ².

, t. y, & theta;. .