A sack is pushed from rest , find the velocity after 6 m while moving at 10 m/s 2

The velocity after 6 m while moving at 10 m/s² ≈ 10.95 m/s

Explanation:

The given parameters are;

The given distance of the sack movement = 6 m

The acceleration, a of the sack = 10 m/s²

The velocity of the is given from the relation;

v² = u² + 2×a×s

Where;

u =The initial velocity = 0

Which gives;

v² = 2×a×s

v² = 2×10×6 - 120

v = √120 = 2·√30 m/s

The velocity after 6 m while moving at 10 m/s² is 2·√30 m/s or approximately equal to 10.95 m/s.

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