# When an object is shot from the bottom of a long smooth inclined plane kept at an angle 60° with horizontal

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When an object is shot from the bottom of a long smooth inclined plane kept at an angle 60° with horizontal, it can travel a distance x1 along the plane. But when the inclination is decreased to 30° and the same object is shot with the same velocity, it can travel x2 distance. Then x1 : x2 will be:

(1) $1:\sqrt2$

(2) $\sqrt2:1$

(3) $1:\sqrt3$

(4) $1:2\sqrt3$

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Ans: (3) $1:\sqrt3$

Sol.