# Looks like an old problem(it is not)

We have three particles each of mass $$m$$ namely $$A,B,C$$ placed at the vertices of an equilateral triangle of side length $$l$$

At $$t=0$$, $$A$$ starts moving towards $$B$$, $$B$$ starts moving towards $$C$$, $$C$$ begins moving towards $$A$$, each with a velocity $$v$$.

Find the distance(not displacement) travelled by $$A$$ from $$t=0$$ till the time when all the three particles collide with each other.

Details and Assumptions

1)The velocity of A is always directed towards $$B$$ and is $$v$$,and similarly for the other two particles.

2)$$l=7.5 metre$$

3)Ignore gravity and anything else.

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