Relative Motion numerical!?

Question

A particle "A" moves with constant velocity u along the x axis.B always has a velocity towards "A"

After how much time will B meet A if B moves with constant speed v ?What distance will A and B travel?

Answer 1

Time, closing speed = u+v, distance = l, so time t = l/(u+v)

Distance, A travels ut, B travels vt.

Answer 2

Was never very good at this at school, better leave it to someone who knows what they are talking about, hope someone can help, goodluck! :)

Answer 3

If B is on the x-axis:

- If B is behind A by some distance D:

- - if v < u : then B never "catches up" to A.

- - if v > u : then B "catches up" after a time D/(v - u).

- If B is ahead of A by some distance D:

- - then they meet after a time D / (v + u).

If B is not on the x-axis, then this problem becomes a *lot* harder. Feel free to edit the post, if that's what you meant. (Basically, the velocity u makes the paths all very curvy.)