An object is thrown vertically upward such that it has a speed 25m/s when it reaches two thirds of its maximum height above the launch point Determine this maximum height.

Explanation:

dropped from maximum height were vertical velocity is zero, the object would have a velocity of 25 m/s in a distance of

v² = u² + 2as

s = (v² - u²) / 2a

s = (25² - 0²) / (2(9.8))

s = 31.887755... m

s/h = 1 - ⅔

s/h = ⅓

h = 3s

h = 3(31.887755)

h = 95.6632...

h = 96 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