A particle is released from a height \( S \). At certain height its kinetic energy is three time...

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A particle is released from a height \( S \). At certain height its kinetic energy is three times its potential energy. The height and speed of the particle at that instant are respectively
[Kerala PET 2007]
(a) \( \frac{S}{4}, \frac{3 g S}{2} \)
(b) \( \frac{S}{4}, \frac{\sqrt{3 g S}}{2} \)
(c) \( \frac{S}{2}, \frac{\sqrt{3 g S}}{2} \)
(d) \( \frac{S}{4}, \sqrt{\frac{3 g S}{2}} \)
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