Two billiard balls, assumed to have identical mass, collide in a perfectly elastic collision. ball a is heading east at 12 m/s. ball b is moving west at 8.0 m/s. determine the post-collision velocities of ball a and ball b.

Ball A will move towards West with speed 8 m/s

Ball B will move towards East with speed 12 m/s

Explanation:

As we know that during collision there is no external force on the system

So here we can use momentum conservation for finding the final velocities of two balls

so we have

since two balls are identical so we have

also we know that for elastic collision we have

so we have

so we have

Towards East

Towards West

the independent variable, or the one that is intentionally manipulated is the speed.

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