A point moves with uniform acceleration and v₁, v₂ and v₃ denote the average velocities in three successive time intervals t₁, t₂ and t₃. Which relation is correct?
Options

Question

A point moves with uniform acceleration and v₁, v₂ and v₃ denote the average velocities in three successive time intervals t₁, t₂ and t₃. Which relation is correct?

G1 Physics · Accepted Answer

For uniform acceleration, average velocity over an interval equals velocity at its midpoint. Thus v₁-v₂=-a(t₁+t₂)/2 and v₂-v₃=-a(t₂+t₃)/2. Hence (v₁-v₂):(v₂-v₃)=(t₁+t₂):(t₂+t₃), option B.