Looks like an old problem(it is not)

We have three particles each of mass mm namely A,B,CA,B,C placed at the vertices of an equilateral triangle of side length ll

At t=0t=0, AA starts moving towards BB, BB starts moving towards CC, CC begins moving towards AA, each with a velocity vv.

Find the distance(not displacement) travelled by AA from t=0t=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 BB and is vv,and similarly for the other two particles.

2)l=7.5metrel=7.5 metre

3)Ignore gravity and anything else.


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