# Ants on a tetrahedron

**Classical Mechanics**Level 5

**Calvin**,

**Peter**,

**David**and

**Aron**. Each ant moves at a speed \(v=1m/s\), and moves in such a way that:

**Calvin** moves toward **Peter**,

**Peter** moves toward **David**,

**David** moves toward **Arron**,

**Arron** moves toward **Calvin**

If they continue to moves it this direction they will converge somewhere. What time in **seconds** will it take the ants to meet each other?

This is a variation of a past brilliant problem, by David M.

The ants are free to roam around in 3-d space.

What generalization could you make from this?