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A particle is fired from 'A' in the diag...

A particle is fired from 'A' in the diagonal plane of a building of dimension 20m (length)`xx15m` (breath) xx12.5m (height), just clears the roof diagonally and falls on the other side of the building at B. It is observed that the particle is travelling at an angle `45^(@)` with the horizonal when it clears the edges P and Q of the diagonal. Take `g=10m//s^(2)`.

The speed of the particle at point P will be:

A

`5sqrt(10)m//s`

B

`10sqrt(5)m//s`

C

`5sqrt(15)m//s`

D

`5sqrt(5)m//s`

Text Solution

Verified by Experts

The correct Answer is:
a

PQ length `(u^(2)sin 2theta)/(g)=25,u=5sqrt(10)m//s`
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