For two positive speeds v₁ and v₂ over equal distances, which statements are correct?
Select all that apply

Question

For two positive speeds v₁ and v₂ over equal distances, which statements are correct?

G1 Physics · Accepted Answer

For equal distances, average speed = 2v₁v₂/(v₁+v₂), which is the harmonic mean. For positive numbers, harmonic mean ≤ geometric mean ≤ arithmetic mean. Also the harmonic mean lies between the two positive speeds. Therefore A, B and C are correct; D is not generally true.