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A person travels along a straight road f...

A person travels along a straight road for the first half length with a velocity `v_(1) ` and the second half length with velocity ` v_(2)`. What is the mean velocity of the person ?

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))`

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 the first half length with a constant speed v_(1) and the second half length with a constant speed v_(2) . The average speed V is:

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

  • A boy runs along a straight path for the first half distance with a velocity V_(1) and second half with velocity V_(2) . The mean velocity V is given by

    A
    `(2)/(V)=(1)/(v_(1))+(1)/(v_(2))`
    B
    `V=(V_(1)+v_(2))/(2)`
    C
    `V=sqrt(v_(1).v_(2))`
    D
    `vecV_(1)+vecV_(2)`

  • What is the average velocity of a man who travels the first-half time with a velocity v_1 and the second-half time with a velocity v_2 ?

    A
    `v_1 v_2`
    B
    `(v_1 + v_2)/2`
    C
    `(2v_1 v_2)/(v_1 + v_2)`
    D
    none

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