An object has velocity magnitude v₁ with respect to ground. An observer moving with constant velocity magnitude v₀ with respect to ground measures the object's velocity magnitude as v₂. Which relation must be true?
Select all that apply

Question

An object has velocity magnitude v₁ with respect to ground. An observer moving with constant velocity magnitude v₀ with respect to ground measures the object's velocity magnitude as v₂. Which relation must be true?

Select all that apply

G1 Physics · Accepted Answer

Relative velocity satisfies v₁=v₂+v₀. Therefore the triangle inequality gives v₁≤v₂+v₀. The other inequalities are not necessary. Hence option B.