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a body is thrown horizontally with a vel...

a body is thrown horizontally with a velocity `sqrt(2gh)` from the top of a tower of height h. It strikes the level gound through the foot of the tower at a distance x from the tower. The value of x is :-

A

gh

B

`(gh)/2`

C

`2h`

D

`(2gh)/3`

Text Solution

Verified by Experts

The correct Answer is:
C
`u_y=0 , s_y =-h , a_y=-g , t_y`= ?
`s=ut+1/2at^2`
`therefore -h =-1/2 "gt"^2 rArr t=sqrt((2h)/g)`
velocity =`x/t`
`therefore x=sqrt(2gh)xxsqrt((2h)/g)`=2h
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