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A ball is shot in a long hall having a r...

A ball is shot in a long hall having a roof at a height of `10m` with `25m//s` at an angle of `37^(@)` with the floor. The ball lands on the floor at a distance of `…………………..` from the point of projection. `(` Assume elastic collisions if any `)`

A

`40m`

B

`60m`

C

`45//4m`

D

`20m`

Text Solution

Verified by Experts

The correct Answer is:
A
Time taken by ball from `O` to `A` is same as that from `A` to `B`.

`10=15t-(1)/(2)(10)t^(2)`
`5t^(2)-15t-10=0`
`t^(2)-3t-2=0`
`t=1,2`
`t=2` is invalid as it is the time taken by the ball to come at `A'` if there was no roof.
`:. t=1` seconds.
During this the ball will travel `Vxxt=20xx2=40m` on the floor.
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