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A man standing on a hill top projects a stone horizontally with speed v0 as shown in fig. (2). Taking the coordinate system as shown in figure, the

coordinates of the point where the stone will hit the hill surface will be

a
2v02tan⁡θg,−2v02tan2⁡θg
b
2v02g,2v02tan2⁡θg
c
2v02tan⁡θg,2v02g
d
2v02tan2⁡θg,2v02tan⁡θg

detailed solution

Correct option is A

See fig.The range of the projectile on an inclined plane is given byR=u2gcos2⁡β[sin⁡(2α+β)+sin⁡β]    (down the plane)Here,      u=v0,α=0 and β=θ∴ R=2v02sin⁡θgcos2⁡θNow      X=Rcos⁡θ=2v02tan⁡θgand        y=−Rsin⁡θ=−2v02tan2⁡θg

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