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A particle moving in a straight line covers half the distance with speed of `3 m//s`. The half of the distance is covered in two equal intervals with speed of `4.5 m//s and 7.5 m//s` respectively. The average speed of the particle during this motion is :

A

`4.0 m//s`

B

`5.0 m//s`

C

`5.5 m//s`

D

`4.8 m//s`

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The correct Answer is:
A
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Knowledge Check

  • A particle moving in a straight line covers half the distance with speed of 3 m//s . The other half of the distance is covered in two equal time intervals with speed of 4.5 m//s and 7.5 m//s respectively. The average speed of the particle during this motion is :

    A
    `4.0 m//s`
    B
    `5.0 m//s`
    C
    `5.5 m//s`
    D
    `4.8 m//s`

  • A particle moving in a straight line covers half the distance with speed v_(0) . The other half of the distance is covered in two equal time intervals with speed v_(1) and v_(2) , respectively. The average speed of the particle during this motion is

    A
    `(v_(0)(v_(1)+v_(2)))/(v_(0)+v_(1)+v_(2))`
    B
    `(2v_(0)(v_(1)+v_(2)))/(v_(0)+v_(1)+v_(2))`
    C
    `(2v_(0)(v_(1)+v_(2)))/(2v_(0)+v_(1)+v_(2))`
    D
    `(v_(0)(v_(1)+v_(2)))/(2v_(0)+v_(1)+v_(2))`

  • A body of mass (m) moving along a straight line covers half the distance with a speed of 2 m/s. The remaining half of the distance is covered in two equal tiem intervals with a speed of 3 ms^(-1) and 5 ms^(-2) respectively. The average speed of the particle for the entire journey is .

    A
    (a) ` (3//8 ) ms^(-1)`
    B
    ( 8 //3) ms^(-1)`
    C
    (c ) ` (4//3) ms^(-1)`
    D
    (d) ` (16//3) ms^(-1)`
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