Answer:
The ball takes 2.23 seconds to reach the ground
Explanation:
Free Fall Motion
A free-falling object falls under the influence of gravity only. An object being acted upon only by the force of gravity is said to be in a state of free fall. Free-falling objects do not have air resistance.
If an object is dropped from rest in a free-falling motion, it falls with a constant acceleration called the acceleration of gravity, which value is [tex]g = 9.8 m/s^2[/tex].
The distance traveled by a dropped object is:
[tex]\displaystyle y=\frac{gt^2}{2}[/tex]
Knowing the height h from which the object was dropped, we can find the time it takes fo hit the ground:
[tex]\displaystyle t=\sqrt{\frac{2h}{g}}[/tex]
Since y=24.3 m:
[tex]\displaystyle t=\sqrt{\frac{2\cdot 24.3}{9.8}}[/tex]
t=2.23 seconds
The ball takes 2.23 seconds to reach the ground
