The vertical height from where Jeff dropped the bottle is 10m.
<h3>What is free falling?</h3>
When an object is released from rest in free air considering no friction, the motion is depend only on the acceleration due to gravity, g.
If we drop an object of mass m near the Earth surface from a height h, it has initial mechanical energy(P.E) of
U =mgh
When the object strikes the ground, all the potential energy converted into kinetic energy.
k.E = 1/2mv²
where v is the speed just before hitting the ground.
From energy conservation principle, initial and final mechanical energy are equal.
mgh = 1/2mv²
Given is Jeff climbs a hill. He drops his water bottle, which has a mass of 0.25 kilograms. The bottle slides down the hill and is moving at a velocity of 14 meters/second the instant it hits the ground.
The height from which bottle could fall is
h = v²/2g
Substitute the values, we get
h = (14)²/(2x9.81)
h =9.99 m
Thus, vertical height from where Jeff dropped the bottle is approximately 10m.
Learn more about free falling.
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