A ball is horizontally projected with a speed \( v \) from the top of a plane inclined at an ang...

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A ball is horizontally projected with a speed \( v \) from the top of a plane inclined at an angle \( 45^{\circ} \) with the horizontal. How far from the point of projection will the ball strike the plane?
(a) \( \frac{v^{2}}{g} \)
(b) \( \frac{\sqrt{2} v^{2}}{g} \)
(c) \( \frac{2 v^{2}}{g} \)
(d) \( \frac{2 \sqrt{2} v^{2}}{g} \)
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