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A shot is fired with a velocity u at a v...

A shot is fired with a velocity u at a vertical wall whose distance from the point of projection is x. Prove the greatest height above the level of the point of projection at which the bullet can hit the wall is `(u^(4) - g^(2)x^(2))/(2gu^(2))`

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Knowledge Check

  • A ball is thrown vertically upwards from the top of a tower. Velocity at a point 'h'm vertically below the point of projection is twice the downward velocity at a point 'h'm vertically above the point of projection. The maximum height reached by the ball above the top of the tower is

    A
    `2 h`
    B
    `4/3 h`
    C
    `3h`
    D
    `(5h)/3`

  • A ball is thrown vertically upwards from the top of a tower.Velocity at a point 'h' m vertically below the point of projection is twice the downward velocity at a point 'h' m vertically above the point of projection.The maximum height reached by the ball above the top of the tower is

    A
    2h
    B
    `(4)/(3)h`
    C
    3h
    D
    `(5h)/(3)`

  • A ball is thrown vertically upwards from the top of a tower. Velocity at a point .h m vertically below the point of projection is twice the downward velocity at a point .h.m vertically above the point of projection. The maximum height reached by the ball above the top of the tower is

    A
    `4/3 h`
    B
    `(5h)/3`
    C
    3h
    D
    2h

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