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A ball is projected perpendicularly from...

A ball is projected perpendicularly from an inclined plane of angle `theta`, with speed 'u' as shown. The time after which the projectile is making angle `45^(@)` with the inclined plane is :

A

`(u)/(g sin theta)`

B

`(u)/(g cos theta)`

C

`(u)/(g{sin theta+cos theta})`

D

`(u)/(g{sin theta - cos theta})`

Text Solution

Verified by Experts

The correct Answer is:
C
A ball is ……..
`V_(y) = u-g cos theta t`
`V_(x) = g sin theta t`
`tan alpha = (V_(y))/(V_(x))`
`tan45^(@) = (u-gt cos theta)/(gt sin theta)`
`t =(u)/(g{sin theta+cos theta})` .
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