The secret recipe to the ever-popular veggie burgers in the college cafeteria is hidden in a drawer in the director’s office. two students decide to break in to get their hands on it, but they want to do it a few hours before dawn on a night when there is no moon, so they are less likely to be caught. what phases of the moon would suit their plans?

Waxing crescent to Waxing gibbous

Explanation:

As the Moon goes around Earth and Earth goes around the Sun, the Moon shows us different phases throughout this journey. Also because of peculiar revolution period around the Earth the rise and set time of Moon changes daily. New Moon rises with the Sun rise and sets with Sun set. Waxing half rises in the mid of the day and sets at midnight. Full Moon rises after sunset and sets at sunrise.

The suitable phases will be from waxing crescent to waxing gibbous. The phase of the Moon, 3 days before the full Moon can be selected as the Moon will set by around 2.5 hours before the Sun rise.

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