A point traversed half of the distance with a velocity $v_0$. The remaining part of the distance was covered with velocity $v_1$ for half the time and with velocity $v_2$ for the other half of the time. The mean velocity of the point averaged over the whole time of motion is
A point traversed half of the distance with a velocity $v_0$. The remaining part of the distance was covered with velocity $v_1$ for half the time and with velocity $v_2$ for the other half of the time. The mean velocity of the point averaged over the whole time of motion is
- A
$\frac{v_0+v_1+v_2}{3}$
- B
$\frac{2 v_0+v_1+v_2}{3}$
- C
$\frac{v_0+2 v_1+2 v_2}{3}$
- D
$\frac{2 v_0\left(v_1+v_2\right)}{\left(2 v_0+v_1+v_2\right)}$
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- [KVPY 2017]