A particle falling vertically from a height hits a plane surface...

A particle falling vertically from a height hits a plane surface inclined to horizontal at an angle θ with speed vo and rebounds elastically (Fig). Find the distance along the plane where if will hit second time.

Options

A $\frac{A{{v}_{o}}^{2}}{2g}sin\theta$
B $\frac{A{{v}_{o}}^{2}}{2g}cos\theta$
C $\frac{A{{v}_{o}}^{2}}{g}sin\theta$
D $\frac{A{{v}_{o}}^{2}}{g}cos\theta$

Correct answer

C. $\frac{A{{v}_{o}}^{2}}{g}sin\theta$

Step-by-step solution

Correct Option is : (C)

\frac{A{{v}_{o}}^{2}}{g}sin\theta

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