2D Vectors trajectory parametrization

Math and Physics Programming

Started by jbosch October 23, 2010 05:49 AM

2 comments, last by jbosch 13 years, 5 months ago

107

Author

October 23, 2010 05:49 AM

Hi,

I want to move a 2d sprite in the screen.

I have 2 vectors: initial position (A) and end position (B).

I want to move the sprite from A to B in a straight line in T seconds.

¿How do I parametrize the trajectory? I mean, I supose I'll need to keep a "real position" vector value, how do I calculate it in each instant of T?

Thanks

luca-deltodesco

638

October 23, 2010 06:35 AM

Your problem is a bit ambiguous since you've not told us 'how' you want it to move in a straight line (aka should it move with a constant speed etc :P)

In the simplest case (constant speed) you simply have a velocity of (B-A)/T which remains constant

Fenrisulvur

186

October 24, 2010 04:47 AM

$\vec{S}: [ 0, \Delta t] \to \mathbb{R}^{2},\;\; t \mapsto \vec{A} + \frac{t}{\Delta t}\left ( \vec{B} - \vec{A} \right )$

jbosch

107

Author

October 24, 2010 12:28 PM

Quote:Original post by luca-deltodesco
Your problem is a bit ambiguous since you've not told us 'how' you want it to move in a straight line (aka should it move with a constant speed etc :P)

In the simplest case (constant speed) you simply have a velocity of (B-A)/T which remains constant

thanks. I think its just what I need