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This is Giancoli Answers with mr. Dychko. When this ball is initially hit by the bat the bat will exert a force like this, this green arrow. And there will be gravity straight down and then after the ball's been hit by the bat, ignoring air friction, the only force on it will be gravity straight down, even though its velocity will be in this direction or, you know, sometime later it'll be down in that direction. Nevertheless the only force that's on it is straight down due to gravity.
where is the normal force for part a) ?
Oh, I realized that free body diagram only shows the forces acting on the object, not on other objects....
Yep, you got it! :)