Answer:
0.82 m
Explanation:
The ball is in free fall - uniform accelerated motion with constant acceleration downward, [tex]a=g=-9.8 m/s^2[/tex] (acceleration of gravity). So we can use the following suvat equation to solve the problem:
[tex]v^2-u^2=2as[/tex]
where
v is the final velocity
u = 4 m/s is the initial velocity
a is the acceleration
s is the displacement
At the maximum displacement, v = 0 (the velocity becomes zero). Substituting and solving for s, we find:
[tex]s=-\frac{u^2}{2a}=-\frac{4^2}{2(-9.8)}=0.82 m[/tex]