A particle moves with constant speed v along a regular hexagon ABCDEF in the same order. Which statements about the magnitude of average velocity are correct?
Select all that apply

Question

A particle moves with constant speed v along a regular hexagon ABCDEF in the same order. Which statements about the magnitude of average velocity are correct?

G1 Physics · Accepted Answer

Let each hexagon side be l and speed be v. A→F uses 5 sides, time=5l/v, displacement=l, so average velocity magnitude=v/5 (A). A→D has displacement 2l and time 3l/v, giving 2v/3, so B is false. A→C displacement=√3l and time=2l/v, giving √3v/2 (C). A→B gives v (D). Hence A,C,D.