Answer:
The package will be traveling at 44.3 m/s when it hits the ground
Explanation:
Free Fall Motion
A free-falling object falls under the sole influence of gravity. Any object that is being acted upon only by the force of gravity is said to be in a state of free fall. Free-falling objects do not encounter 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 final velocity of a free-falling object after a time t is given by:
vf=g.t
The distance traveled by a dropped object is:
[tex]\displaystyle y=\frac{gt^2}{2}[/tex]
If we know 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]
The package was dropped from h=100 m, thus the time taken to reach the ground is:
[tex]\displaystyle t=\sqrt{\frac{2(100)}{9.8}}[/tex]
[tex]t = 4.52~s[/tex]
The final speed is now calculated:
[tex]vf=9.8*4.52[/tex]
[tex]vf=44.3~m/s[/tex]
The package will be traveling at 44.3 m/s when it hits the ground
