Question: 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) \dfrac{S}{4},\dfrac{3gS}{2}
(B) \dfrac{S}{4},\dfrac{\sqrt{3gS}}{2}
(C) \dfrac{S}{2},\dfrac{\sqrt{3gS}}{2}
(D) \dfrac{S}{4},\dfrac{\sqrt{3gS}}{2}
Answer: Option (D)
Solution:

