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A particle at t = 0 second is at point A...

A particle at `t = 0` second is at point `A` and moves along the shown path (ABCDF) with uniform speed `v = (1 + (pi)/(3)) m//s`. Both the straight segments `AB` and `DE` are along the diameter `BD` of semicircle `BCD` radius `R = 1` metre. Find the instant of timw at which the instantaneous velocity of the particle is along the direction of average velocity from `t = 0` second to that instant.

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