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A person travels along a straight road f...

A person travels along a straight road for half the distance with velocity `V_1` and the remaining half distance with velocity `V_2` the average velocity is given by

A

`v_(1)v_(2)`

B

`(v_2/v_1)^(2)`

C

`(v_(1)+v_2)/2`

D

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

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • A person travels along a straight road for half the distance with velocity V_(1) and the reamaining half distance with velocity V_(1) and the remaining half distance with velocity V_(2) the average velocity is given by

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

  • A person travels along a straight road for the half time with a velocity V_1 and the next half time with a velocity V_2 . The mean velocity V of the man is

    A
    `2/v=1/v_1+1/v_2`
    B
    `v=(v_1+v_2)/2`
    C
    `v=sqrt(v_1v_2)`
    D
    `v=sqrt(v_1/v_2)`

  • A person travels along a straight road for the half time with a velocity V_(1) and the next half time with a velocity V_(2) . The mean velocity V of the man is

    A
    `(2)/(v)=(1)/(v_(1))+(1)/(v_(2))`
    B
    `v=(v_(1)+v_(2))/(2)`
    C
    `v=sqrt(v_(1)v_(2))`
    D
    `v=sqrt((v_(1))/(v_(2)))`

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