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Moment of inertia of a body about a given axis is 1.5 kg m$^2$. Initially the body is at rest. In order to produce a rotational kinetic energy of 1200 J, the angular acceleration of 20 rad/s$^2$ must be applied about the axis for a duration of:
(1) 2.5 s
(2) 2 s
(3) 5 s
(4) 3 s
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