The acceleration of the ball is always g
Explanation:
An object is said to be in free fall if there is only the force of gravity acting on it. In such situation, therefore, the net force on the ball is
[tex]F=mg[/tex] (1)
where
m is the mass of the ball
[tex]g=9.8 m/s^2[/tex] is the acceleration of gravity, pointing downward
Applying Newton's second law,
[tex]F=ma[/tex] (2)
where a is the acceleration, and equating (1) and (2), we find the acceleration of an object in free fall:
[tex]mg=ma\\a=g[/tex]
So, any object in free fall has always an acceleration of [tex]g[/tex] (downward), regardless of its initial velocity.
Therefore, in this problem, it doesn't matter what is the direction of the initial velocity of the ball: its acceleration, in fact, will be always equal to g.
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