A point travelled half of the distance with velocity `v_0`. The half of remaining part of the distance was covered with velocity `v_1` & second half of remaining part by `v_2` velocity. The mean value of the point averaged over the whole time of motion is

Options

A. `\frac { v _ { 0 } + v _ { 1 } + v _ { 2 } } { 3 }`
B. `\frac { 2 v _ { 0 } + v _ { 1 } + v _ { 2 } } { 3 }`
C. `\frac { v _ { 0 } + 2v _ { 1 } + 2v _ { 2 } } { 3 }`
D. `\frac { 2 v _ { 0 } ( v _ { 1 } + v _ { 2 } ) } { ( 2 v _ { 0 } + v _ { 1 } + v _ { 2 } ) }`

Answer

D