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A cannon fires its projectile with such ...

A cannon fires its projectile with such an initial velocity and angle of projection that its range is R and the maximum height to which the projectile rises is H. Find the maximum range that can be obtained with the same initial velocity.

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An object is projected so that its horizontal range R is maximum. If the maximum height of projectile is H , find the value of H//R .

The maximum height attanide by a projectile is equal to…………………………..of its maximum range.

Knowledge Check

  • The angle of projection at which the horizontal range and maximum height of projectile are equal is

    A
    `45^@`
    B
    `theta = tan^(-1) (0.25)`
    C
    `theta = tan^(-1) (4)`
    D
    `60^(@)`

  • An object is projected with speed u and range of the projectile is found to be double of the maximum height attained by it . Range of the projectile is .

    A
    `v_(A)=v_(B)=v_(C)`
    B
    `v_(A) gt v_(B) gt v_(C)`
    C
    `v_(A) lt v_(B) lt v_(C)`
    D
    `v_(a)=v_(B) gt v_(C)`

  • An object is projected with speed u and range of the projectile is found to be double of the maximum height attained by it . Range of the projectile is .

    A
    `(2u^(2))/(5g)`
    B
    `(3u^(2))/(5g)`
    C
    `(4u^(2))/(5g)`
    D
    `(u^(2))/(g)`

    • Similar Questions

    Explore conceptually related problems

    A projectile has a range of 40 m and reaches a maximum height of 10 m. Find the angle at which the projectile is fired.

    A projectile is thrown with an initial velocity of v = a hat i + b hat j . If the range of projectile is double the maximum height reached by it. Find the ratio (b)/(a) .

    The maximum range of a projecitle fired with some initial velocity is found to be 1000 metre The maximum height (H) reached by this projectile is:-

    The range of a projectile for a given initial velocity is maximum when the angle of projection is 45^(@) . The range will be minimum, if the angle of projection is

    A projectile has a range of 40 m and reaches a maximum height of 10 m . Find the angle at which the projectile is fired.

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