A particle performing simple harmonic motion according to y = A sinωt. Then its kinetic energy (K.E.), potential energy (P.E.) and speed (V) at position y = A/2 are

Options :

1. $K.E=\frac{k{A}^2}{8}$ $P.E=\frac{3k{A}^2}{8}$ $V=\frac{A}{3}\sqrt{\frac{k}{m}}$

2. $K.E=\frac{3k{A}^2}{8}$ $P.E=\frac{k{A}^2}{8}$ $V=\frac{A}{2}\sqrt{\frac{3k}{m}}$

3. $K.E=\frac{3k{A}^2}{8}$ $P.E=\frac{k{A}^2}{4}$ $V=A\sqrt{\frac{3k}{m}}$

4. $K.E=\frac{k{A}^2}{4}$ $P.E=\frac{3k{A}^2}{8}$ $V=\frac{A}{4}\sqrt{\frac{3k}{m}}$