question_answer

A point traversed half of the distance with a velocity \[{{v}_{0}}\]. The half of remaining part of the distance was covered with velocity \[{{v}_{1}}\] and second half of remaining part by \[{{v}_{2}}\] velocity. The mean velocity of the point, averaged over the whole time of motion is

A) \[\frac{{{\text{v}}_{\text{0}}}\text{+}{{\text{v}}_{1}}+{{\text{v}}_{2}}}{3}\]           

B) \[\frac{\text{2}{{\text{v}}_{\text{0}}}\text{+}{{\text{v}}_{1}}+{{\text{v}}_{2}}}{3}\]

C) \[\frac{{{\text{v}}_{\text{0}}}\text{+.2}{{\text{v}}_{1}}+2{{\text{v}}_{2}}}{3}\]

D) \[\frac{{{\text{v}}_{\text{0}}}\text{+2(}{{\text{v}}_{1}}+{{\text{v}}_{2}})}{\text{(2}{{\text{v}}_{\text{0}}}\text{+}{{\text{v}}_{1}}+{{\text{v}}_{2}})}\]