Jeff is part of a trekking team. as he 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 vertical height from where jeff dropped the bottle is meters. ignore friction, and use , pe = m × g × h, and g = 9.8 m/s2.

h = 10 m

Explanation:

As per energy conservation law we know that if there is no friction force present in the system then in that case total energy is always remains conserved.

So here we can say that

initial potential energy = final kinetic energy

here we know that

m = 0.25 kg

v = 14 m/s

now from above equation

so initial vertical height will be h = 10 m

d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day

that tool is called an altimeter which measures your altitude which can be used to tell which atmosphere you are currently in, including the stratosphere.

hope this ! : )