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An object is thrown from a point 'A' hor...

An object is thrown from a point 'A' horizontally from a tower and hits the ground 3s later at B. The line from 'A' to 'B' makes an angle of `30^(@)` with the horizontal. The initial velocity of the object is `15sqrt(x)m//s`. Find x : (take `g=10m//s^(2)`)

Text Solution

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The correct Answer is:
3
Time of flight as seen with axis along the incline and perpendicular to incline.
`(2usin30^(@))/(gcos30^(@))=3implies(2xxu)/(10)xx(1)/(sqrt(3))implies3`
`u=15sqrt(3)m//s`
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Knowledge Check

  • An object is thrown horizontally from a point 'A' from a tower and hits the ground 3 s later at B. The line from 'A' to 'B' makes an angle of 30^(@) with the horizontal. The initial velocity of the object is : ( take g = 10" m/s"^(2) )

    A
    `15 sqrt 3 " m/s"`
    B
    `15" m/s"`
    C
    `10 sqrt 3" m/s"`
    D
    `25// sqrt 3" m/s"`

  • A body is thrown with a velocity of 9.8 m//s making an angle of 30^(@) with the horizontal. It will hit the ground after a time

    A
    `1.5 s`
    B
    `1 s`
    C
    `3s`
    D
    `2 s`

  • A body is thrown horizontally from the top of a tower and strikes the ground after three seconds at an angle of 45^@ with the horizontal. Find the height of the tower and the speed with which the body was projected. (Take g = 9.8 m//s^2)

    A
    `h= 44.1 m`, `u_x = 9.4 m//s`
    B
    `h= 41 m`, `u_x = 29.4 m//s`
    C
    `h= 44.1 m`, `u_x = 29.4 m//s`
    D
    `h= 44.1 m`, `u_x = 9.4 m//s`

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