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A particle transversed half of the dista...

A particle transversed half of the distance with a velocity of V0. The remaining parts of the distance was covered with velocity `V_(l)`, for half of the time and with V2 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)/(2v_1 + v_2)`

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The correct Answer is:
B
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Knowledge Check

  • A body moving along a straight line travels one third of the total distance with a speed of 3.0 m s^(-1) . The remaining distance is covered with a speed of 4.0 m s^(-1) for half the time and 5.0 m s^(-1) for the other half of the time. The average speed during the motion is

    A
    `4.0 m s^(-1)`
    B
    `6.0 m s^(-1)`
    C
    `3.8 m s^(-1)`
    D
    `2.4 m s^(-1)`

  • A man runs along the straight road for half the distance with velocity v_(1) and the remaining half distance with velocity v_(2) . Then the average velocity is given by

    A
    `v_(1)v_(2)`
    B
    `v_(2)^(2)//v_(1)^(2)`
    C
    `(v_(1) + v_(2))//2`
    D
    `2v_(1)v_(2)//(v_(1) + v_(2))`
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