Question 3: a) A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with time according to where i) Calculate the angular velocity of the merry-go- round as a function of time (7 points) ii) What is the initial value of the angular velocity? (7 points) iii) Calculate the instantaneous value of the angular velocity(5 points) b) What is the difference between tangential and radial acceleration for a point on a rotating body? (6 points)