a particle moves with simple harmonic motion. if it's acceleration is 100 times it's displacement what is it's period

Simple harmonic motion is repetitive. The period T is the time it takes the object to complete one oscillation and return to the starting position ... If at t = 0 the object has its maximum displacement in the positive x-direction, then φ = 0, if it has its maximum displacement in the negative x-direction, then φ = π.

Explanation:

Simple harmonic motion, in physics, repetitive movement back and forth through an equilibrium, or central, position, so that the maximum displacement on one side of this position is equal to the maximum displacement on the other side