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Question: Three particles A, B and C are situated at the verticles of an equilateral triangle of side *l*. Eac...

Three particles A, B and C are situated at the verticles of an equilateral triangle of side l. Each of the particle stats moving with a constant velocity v such that A is always directed towards B, B towards C and C towards A. Find the time when they meet.

A

l/√3v

B

2l/v

C

2l/3v

D

None

Answer

2l/3v

Explanation

Solution

We look into it as problem of relative velocity and find vBA in the direction of B.

t = lvA−vBcos⁡120=lv+v2=2l3v\frac{l}{v_{A} - v_{B}\cos 120} = \frac{l}{v + \frac{v}{2}} = \frac{2l}{3v}