Two forces P and Q acting at a point at an angle have their resultant (2n + 1)√P2 + Q2 and when at an angle (90° - ),the resultant is(2n - 1)√P2 + Q2.
Show that tan = (n - 1)/( n + 1).

Answer is given in this paper.

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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

because if the tool that you are using is not balanced it there would be false mass.