Q: 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

(a) $ \frac{S}{4} , \frac{3 g S}{2} $

(b) $ \frac{S}{4} , \frac{\sqrt{3 g S}}{2} $

(c) $ \frac{S}{4} , \sqrt{\frac{3 g S}{2}} $

(d) $ \frac{S}{3} , \sqrt{\frac{3 g S}{2}} $

Ans: (c)