IIT JEE , AIEEE Forum - Physics , Mechanics

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Let at any instant, the velocity vector of B makes an angle

with the direction of motion of A.
Then, the velocity of approach
-(dl/dt) = u - u cos

-_d

⁰ dl = u₀

^T (1- cos

)dt
d = uT -u ₀

^T cos

dt ------------(1)

After sufficient time B moves on the same line as B, only separated by a distance, say x.
uT -u ₀

^T cos

dt = x
u ₀

^T cos

dt = uT - x ---------------(2)
From (1) and (2)
x=d