We have taken the energy of a simple harmonic oscillator. because we are assuming the atoms are vibrating within a simple harmonic potential. (a) is it justified to take the potential of an simple harmonic oscillator? hint: use taylor series expansion of potential as function of position around minimum] (b) is the potential of simple harmonic oscillator still valid at high tem- perature? determine the higher order correction of potentia (c) is the thermal expansion of solids possible, just taking care of the har monic potential? justify your answer using calculation (d) take correction of potential upto fourth order in displacement and calculate the average displacement of the atoms as a function of tem- perature

answer: f

explanation: g

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 don't understand. explain it clearly

we're given that v₀ = 0 and a = 5.4 m/s². therefore, since v = at + v₀ for constant acceleration the equation for velocity is

after 28s,

m/s

which i would round to 150 m/s as my final answer