A particle is released from height S from the surface of the Earth. At a certain height its kinetic energy is three times its potential energy. The height from the surface of earth and the speed of the particle at that instant are respectively:

(1) \(\frac{S}{4}\), \(\frac{3gS}{2}\)

(2) \(\frac{S}{4}\), \(\frac{\sqrt{3gS}}{2}\)

(3) \(\frac{S}{2}\), \(\frac{\sqrt{3gS}}{2}\)

(4) \(\frac{S}{4}\), \(\sqrt{\frac{3gS}{2}}\)