4. *Merry-go-round. Two children are playing catch on a merry-go-round that is ro- tating clockwise. A friend who is standing on the ground is pushing the merry-go- round so it is rotating faster. Using an aerial view from above the merry-go-round and Eq. 6, sketch a vector diagram on top of a circle that shows (a) , r, and the associated fictitious force experienced by a child due to this term, (b) , r, and the associated fictitious force experienced by the ball they are throw- ing back and forth, and (c) , r, and the associated fictitious force experienced by a child due to this term. (d) Include the names of these three forces with your answers.