# Chasing Problem

1. Jun 5, 2006

### hypermonkey2

Heres a problem that could use some light. Say person A at (0,1) is following a person B at (0,0). Person B moves horizontally with a constant speed v (towards the positive x direction). Person A also moves with speed v, but always in the direction pointing at person B (to chase him). How can we describe mathematically the curve thus created?

I hope my explanation of the problem was clear, thanks!

Last edited: Jun 5, 2006
2. Jun 5, 2006

### Tide

Do you think A will ever intercept B?

3. Jun 5, 2006

### hypermonkey2

I wouldnt think so. Their distance might become infinitely small though, if that means the same thing.

4. Jun 5, 2006

### Tide

So one property of the curve would be that it has an asymptote?

5. Jun 5, 2006

### hypermonkey2

That would seem to be the case. But even so, we havent been able to solve the differential equation. Can you try a mathematical analysis? This is not homework, haha, no need for the socratic method.

6. Jun 5, 2006

7. Jun 6, 2006

### hypermonkey2

thanks, ill wrestle with that.