Answer:
about 32.32 m
Explanation:
The vertical height in meters is given by ...
h = -4.9t^2 +80
This is 0 when ...
0 = -4.9t^2 +80
4.9t^2 = 80
t^2 = 80/4.9
t = √(80/4.9)
The ball will hit the ground about 4.0406 seconds after it is kicked. In that time, it will travel horizontally a distance of ...
(8 m/s) × (4.0406 s) ≈ 32.32 m
The ball will hit the ground about 32.32 m from the base of the cliff.
