Kinematics Problem -- 3 particles at the vertices of an equilateral triangle

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SUMMARY

The problem involves three particles A, B, and C located at the vertices of an equilateral triangle ABC with side length d, moving with constant speed v. Each particle's velocity is directed towards the next particle: A moves towards B, B towards C, and C towards A. Despite the initial fixed positions, the particles will converge at the centroid of the triangle as they continuously adjust their direction towards each other. The time taken for the particles to meet can be calculated based on their speed and the initial distance between them.

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RandomGuy1
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Here's the question:

Three particles A, B and C are situated at the vertices of an equilateral triangle ABC of side d at time t = 0. Each of the particles moves with constant speed v. The particle at A always has its velocity along AB, B along BC and C along CA. At what time will the particles meet?

And here's what I don't understand - If each particle is restricted to its corresponding side of the triangle, how exactly will they "meet"?
 
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The sides of the triangle are getting smaller.
 
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RandomGuy1 said:
The particle at A always has its velocity along AB, B along BC and C along CA.
It's a bit oddly worded. Don't think in terms of fixed directions based on the original positions. As the particles move and change position: A always moves toward B, B always moves toward C, C always moves toward A.
 
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Doc Al said:
It's a bit oddly worded. Don't think in terms of fixed directions based on the original positions. As the particles move and change position: A always moves toward B, B always moves toward C, C always moves toward A.

You were right. That cleared a lot up. Thanks!
 

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