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A boy is pushing his sister on a playground merry-go-round. The angle where the merry-go-round turned is varies with time according to the angular displacement function, 0 (t) = at + bt where a and b is given as 0.5 rad/s and 0.012 rad/s. 0.8m Figure Q3 (a) Determine the angular velocity of the merry-go-round in term of t and calculate its initial angular velocity. (b) The given angular acceleration of the merry-go-round is a = (0.30) rad/s when it is start at initial angular velocity. Determine the magnitude of the normal and tangential components of acceleration of point P at his sister when 0 = 2 rev.