A particle is oscillating in a simple harmonic motion. The time required for the particle to travel through?

one complete cycle is equation to the period of the motion, no matter what the amplitude is. But how can this be, since larger amplitudes mean that the particle travels farther? Explain.A particle is oscillating in a simple harmonic motion. The time required for the particle to travel through?If a particle has to travel farther in the same time period, that means it is traveling faster.