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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
image
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`

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Best answer
Correct Answer - 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)`
image
`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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