This is supost to be a classic. I solved it but my answer isn´t right and I can´t find out why. Hope you guys can help.(adsbygoogle = window.adsbygoogle || []).push({});

Imagine an equilateral triangle with one turtle on each side of lenth L. All turtles move with velocityV. Turtle 1 always directs its motion to turtle 2, turtle 2 to turtle 3, and turtle 3 to turtle 1, again. Calculate the time the turtles take to meet.

The movement will be something like this.

Relative to turtle 2, turtle 1 will be in uniform rectilinear motion and its velocity will be:

[tex] \vec V_{12}=\vec v_1 - \vec v_2 [/tex]

[tex]\vec v_1[/tex] and [tex]\vec -v_2 [/tex] make an angle of 60º degrees. So,

[tex] V_{12}= \frac{V}{\sqrt{3}} [/tex]

Relative to turtle 2, turtle 1 will only travel the distance that separates it from the center of the triangle, which is [tex] \frac{L}{3}[/tex]

So, [tex] t= \frac{v_{12}}{d} = \frac{L}{3V} [/tex]

P.S.: I guess some of you might have already solved this problem. If not, I recommend it, though I got it wrong.

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# Chasing Turtles Problem

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