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A ball is thrown with a speed u, at an a...

A ball is thrown with a speed u, at an angle `theta` with the horizontal. At the highest point of its motion, the strength of gravity is somehow doubled. Taking this change into account, the total time of flight of the projectile is

A

`(2u sin theta)/g`

B

`3/2 (u sin theta)/g`

C

`3/4 (u sin theta)/g`

D

`((sqrt(2)+1)/sqrt(2)) (u sin theta)/g`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • A particle is fired with speed u making angle theta with the horizontal. Its potential energy at the highest point is:-

    A
    `1/2 mu^(2) sin^(2)theta`
    B
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    C
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    D
    `1/2 mu^(2) sin^(2) 2theta`

  • A particle is projected with speed u at angle theta to the horizontal. Find the radius of curvature at highest point of its trajectory

    A
    `(u^(2)cos^(2)theta)/(2g)`
    B
    `(sqrt(3)u^(2)cos^(2)theta)/(2g)`
    C
    `(u^(2)cos^(2)theta)/g`
    D
    `(sqrt(3)u^(2)cos^(2)theta)/g`

  • A body of mass m is projected with intial speed u at an angle theta with the horizontal. The change in momentum of body after time t is :-

    A
    m u `sin theta`
    B
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    C
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    D
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