Answer to Question #29057 in Mechanics | Relativity for chandra kant

Question

three ants are sitting on the vertices of an equilateral triangle of side a. At t =0, ant 1 starts apporoaching ant 2 with speed v, ant 2 starts approching ant 3 with speed v and ant 3 start approching ant 1 with speed v. The three meet at the centroid of the triangle at t = 2a/3v. Then find ---
(1) The angular velocity of ant 2 with respect to ant 1 at t = 0.
(2) The angular acceleration of ant 2 with respect to ant 1 at t = 0 is .
(3) The area of the equilateral triangle formed by the three ants at any time t = a/4v will be.