Our F and rem A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with time according to 8(t)t + t where y = 0.367 rad/s and 8 = 14010- rad/s Calculate the angular velocity of the merry-go-round as a function of time Express your answer in terms of the variables , y, and t. w (t) = Submit Part B What is the initial value of the angular velocity? W = Submit My Answers Give Up W.F Submit VE My Answers Give Up VE BOL My Answers Give Up ? Part C Calculate the instantaneous value of the angular velocity w, at t-5.50 s ? ? rad/s rad/s rad/s Part D Calculate the average angular velocity for the time interval t 0 to t=5.50 s