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A ball is thrown form a point on a groun...

A ball is thrown form a point on a ground at some angle of projection. At the same time a bird starts form a point directly above this point of projection at a height h horizontally with speed `u`. Given that in its flight ball just touches the bird at one point. Find the distance on ground where ball strikes

A

`2usqrt((h)/(g))`

B

`usqrt((2h)/(g))`

C

`2usqrt((2h)/(g))`

D

`usqrt((h)/(g))`

Text Solution

Verified by Experts

The correct Answer is:
C
`v_(x) = u, h = (v_(y)^(2))/(2g), v_(y) = sqrt(2gh)`
`R = (2V_(x)V_(y))/(g) rArr R = (2usqrt(2gh))/(g) rArr R = 2u sqrt((2h)/(g))`
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Knowledge Check

  • A ball is thrown from a point with a speed v_0 at an angle of projection theta . From the same point and at the same instant, a person starts running with a constant speed v_0/2 to catch the ball. Will the person be able to catch the ball ? If yes, what should be the angle of projection ?

    A
    Yes, `60^@`
    B
    Yes, `30^@`
    C
    No
    D
    No, `45^@`

  • A ball is thrown from a point with a speed v_0 at an angle of projection theta . From the same point and at the same instant, a person starts running with a constant speed v_0/2 to catch the ball. Will the person be able to catch the ball ? If yes, what should be the angle of projection ?

    A
    Yes, `60^@`
    B
    Yes, `30^@`
    C
    No
    D
    No, `45^@`

  • A ball is thrown from a point with a speed V_(0) ,at an angle of projection theta .From the same point and at the same instance a person starts running with a constant speed V_(0)/sqrt2 to catch the ball will the person be able to catch the ball? If yes, what should be the angle of projection

    A
    yes, `60^(@)`
    B
    yes, `30^(@)`
    C
    No
    D
    yes, `45^(@)`

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