Mass and kinematics -- motion of objects in a gravitational field

[mthudaa]

does mass affect the motion of the vertical upward, vertical motion down, free fall motion, and parabolic motion?

 

[mfb]

What do you expect?

In free fall (no drag or other forces apart from gravity), everything accelerates with the gravitational acceleration g. It doesn't depend on the mass.

 

[DrStupid]

does mass affect the motion of the vertical upward, vertical motion down, free fall motion, and parabolic motion?

It depends. For the mass of the falling object in a constant gravitational field see mfb's post above. But that's not the only possible answer. The mass of the gravity source obviously affects the free fall motion.