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A projectile is thrown with an initial v...

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)`.

A

`x = 2y`

B

`y = 2x`

C

`x = y`

D

`y - 4x`

Text Solution

Verified by Experts

The correct Answer is:
C
`(U^(2)sin 2 theta)/(g) = 2xx (U^(2) sin^(2) theta)/(2g)`
`2sin theta cos theta = sin^(2) theta`
`tan theta = 2`
`(y)/(x) = 2`
`y = 2x`
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