Three ants are sitting on the vertices of equilateral triangle of side a. At t=0 and ant 1 starts approaching ant 2 with a speed v ,ant 2 starts approaching ant 3 with a speed v, and ant 3 starts approaching ant 1 with speed v.The three ants meet at the centroid of the triangle at t=2a/3v. calculate the area of equilateral triangle formed by the three ants at any time t=a/4v will be

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