A particle moves along the straight line...

A particle moves along the straight line such that `1/3 rd` distance with speed `v_1` the next `1/3 rd` distance with speed `v_2` and remaining `1/3 rd` distance with `v_3`. Then its average speed throughout motion is

`[2(v_1 v_2 + v_2 v_3 + v_3 v_1)]/(v_1 + v_2 + v_3)`

`(v_1 + v_2 + v_3 )/3`

`(v_1 +v_2)/2 + (v_2+v_3)/2 + (v_3+v_1)/2`

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