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A particle traversed half of the distanc...

A particle traversed half of the distance with a velocity of `V_0`. The remaining parts of the distance was covered with velocity `V_1` for half of the time and with `V_2` for other half of the time. Find the mean velocity of the particle averaged and the whole time of motion

A

`(2v_(0)(v_(1)+v_(2)))/(v_(1)+v_(2)+2v_(0))`

B

`(v_(0)(v_(1)+v_(2))+2v_(1)v_(2))/(2(v_(1)+v_(2))`

C

`(v_(1)+v_(2))/2`

D

`(v_(0)+2v_(1)v_(2))/(2(v_(1)+v_(2))`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • A particle traversed along a straight line for first half time with velocity V_0 . For the remaining part, half of the distance is traversed with velocity V_1 , and other half distance with velocity V_2 . Find the mean velocity of the particle for the total journey.

    A
    `(2v_0(v_1+v_2))/(v_1+v_2 + 2v_0)`
    B
    `(v_0(v_1+v_2)+2v_1v_2)/(2(v_1+v_2))`
    C
    `(v_1+v_2)/(2)`
    D
    `(v_0+2v_1v_2)/(2(v_1+v_2))`

  • A particle traversed along a straight line for first half time with velocity V_0 . For the remaining part, half of the distance is traversed with velocity V_1 , and other half distance with velocity V_2 . Find the mean velocity of the particle for the total journey.

    A
    `(2v_0(v_1+v_2))/(v_1+v_2 + 2v_0)`
    B
    `(v_0(v_1+v_2)+2v_1v_2)/(2(v_1+v_2))`
    C
    `(v_1+v_2)/(2)`
    D
    `(v_0+2v_1v_2)/(2(v_1+v_2))`

  • A particle traversed along a straight line for first half time with velocity V_0 . For the remaining part, half of the distance is traversed with velocity V_1 and other half distance with veloctity V_2 . Find the mean velocity of the pariticle for the total journey.

    A
    `(2v_0 (v_1 + v_2))/(v_1 + v_2 + 2v_0)`
    B
    `(v_0(v_1 + v_2) + 2v_1 v_2)/(2(v_1 + v_2))`
    C
    `(v_1 + v_2)/(2)`
    D
    `(v_0 + 2v_1 v_2)/(2v_1 + v_2)`

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