Answer
The correct answer is:
(e) $0~s, 4~s, 8~s$
Work Step by Step
When an object is in SHM, the sum of the kinetic energy and potential energy is constant. The potential energy is maximum when the kinetic energy is minimum, which occurs when $v_x = 0$. The potential energy is maximum at $t = 0~s, 4~s, 8~s$
The correct answer is:
(e) $0~s, 4~s, 8~s$