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A projectile is fired with a velocity v ...

A projectile is fired with a velocity v at right angle to the slope inclined at an angle `theta` with the horizontal. The range of the projectile along the inclined plane is

A

`(2v^(2))/(g) sec theta`

B

`(2v^(2))/(g) tan theta`

C

`(2v^(2))/(g) tan theta sec theta`

D

`(v^(2))/(g) tan^(2) theta`

Text Solution

Verified by Experts

The correct Answer is:
C
`T = (2u_(y))/(a_(y)) rArr T = (2v)/(g cos theta)`
`x = u_(x)t +(1)/(2) a_(x)t^(2) rArr R = (1)/(2) a_(x)T^(2)`

`R = (1)/(2) g sin theta xx ((2v)/(g cos theta))^(2) rArr R = (2v^(2))/(g) tan theta.sec theta`
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