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A projectile is fired with a velocity V at right angle to the slope which is inclined at an angle θ with the horizontal. The range of the projectile along the inclined plane is

a
2V2tanθg
b
V2secθg
c
2V2tanθsecθg
d
V2sinθg

detailed solution

Correct option is C

Range of projectile on incline plane, R=V2gcos2βsin2α+β+sinβ V is initial velocity; α=90-θ=angle of projection with respect to horizontal; β=θ=angle of inclined plane with respect to horizontal; g is acceleration due to gravity R=V2gcos2θsin180−2θ+θ+sinθ R=V2gcos2θ2sinθ R=2V2gtanθ.secθ

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