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A particle with a velcoity (u) so that i...

A particle with a velcoity (u) so that its horizontal ange is twice the greatest height attained. Find the horizontal range of it.

A

`(2v^(2))/(3g)`

B

`v^(2)/(2g)`

C

`v^(2)/g`

D

`(4v^(2))/g`

Text Solution

Verified by Experts

The correct Answer is:
D
`R = 2H_("max")`
`(v^(2) sin 2theta)/g = 2 xx (v^(2) sin^(2) theta)/(2g)`
On solving
`theta = tan^(-1)(2)` or `theta = 63.43^(@)`
Now, Range, `R = (v^(2) sin [2 xx 63.43])/g = 4/5 v^(2)/g`
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