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A particle moves clockwise in a circle of radius `1 m` with centre at `(x, y) = (1m, 0)`. It startsx at rest at the origin at time `t = 0`. Its speed increase at the constant rate of `((pi)/(2)) bm//s^(2)`. If the net acceleration at `t = 2 sec` is `(pi)/(2) sqrt((1 + Npi^(2))` then what is the value of `N` ?

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