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At what angle with the horizontal should...

At what angle with the horizontal should a ball be thrown so that the range `R` is related to the time of flight as `R = 5 T^2` ? `(Take g = 10 ms6-2)`.

A

`45^(@)`

B

`15^(@)`

C

`60^(@)`

D

`90^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
`(2 u^(2) sin theta cos theta)/(g)=5 ((2u sin theta)/(g))^(2)`
`theta = 45^(@)`.
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Knowledge Check

  • At what angle with the horizontal should a ball be thrown so that the range R is related to the time of flight as R = 5 T^2 ? (Take g = 10 ms^(-2)) .

    A
    `30^@`
    B
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    C
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    D
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    A
    `0^@`
    B
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    C
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    D
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    A
    `tan^(-1)((sqrt3)/4)`
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    C
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    D
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