IIT JEE , AIEEE Forum - Physics , Mechanics

partha

B and A are separated by a distance d. B and A start moving simultaneously with the same speed u ms^-1 with B always heading towards A. After a long time A and B will be moving along two parallel straight lines separated by a distance x. Find x.

partha

please help me out puneet sir

elessar_iitkgp

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

elessar_iitkgp

There's a similar problem in Irodov. There the velocities are different.

joygenius

i agree with eelesar

edison

Good job done elessar

elessar_iitkgp

Thanx edison

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