Answer:
4.3 m/s
Explanation:
In order to find the final velocity of the ball, we can just analyze its vertical motion.
In fact, the ball is in free fall along the vertical direction: this means that it has a constant acceleration, so we can use the following suvat equation
[tex]v^2-u^2=2as[/tex]
where
v is the final vertical velocity
u is the initial vertical velocity
a is the acceleration
s is the displacement
In this problem, we know:
u = 0 (the ball starts from rest)
[tex]a=g=9.8 m/s^2[/tex] is the acceleration of gravity (taking downward as positive direction)
s = 0.950 m (the height of the tabletop)
Solving for v,
[tex]v=\sqrt{u^2+2as}=\sqrt{0+2(9.8)(0.950)}=4.3 m/s[/tex]