In a simple harmonic motion, the force acting on a particle is given as `F  = -4x`, total mechanical energy of the particle is 10J and amplitude of oscillation is 2m. At time t = 0 acceleration of the particle is `-16m//s^2`. Mass of the particle is 0.5 kg. 
Displacement time equation of the particle is:

Options

A. `x = 2 sin 2 t`
B. `x = 2 sin 4 t`
C. `x = 2 cos 2 t`
D. `x = 2 cos (2 sqrt(2) t)`

Answer

D