Use the work energy theorem to solve each of these problems and neglect air resistance in all cases. a) a branch falls from the top of a 98.0 m tall redwood tree, starting from rest. how fast is it moving when it reaches the ground? b) a volcano ejects a boulder directly upward 545 m into the air. how fast was the boulder moving just as it left the volcano?

a)43.8 m/s

b)103.54 m/s

Explanation:

Work energy theorem

Δ Δ

a) In this part v1=0 and h2=0

=0

b) in this part v2=0, h1= 0, and h2= 545m

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

i believe the answer is a hope it and is correct