Here's why:
* Simple Harmonic Motion (SHM): This type of motion is characterized by a restoring force that is proportional to the displacement from equilibrium. Think of a mass on a spring: the further you pull it, the stronger the spring pulls back.
* Acceleration: Acceleration is the rate of change of velocity. In SHM, the restoring force causes the object to accelerate towards the equilibrium position.
* Maximum Displacement: When the displacement from equilibrium is maximum, the restoring force is also maximum. Since acceleration is proportional to the force, the acceleration is also maximum at this point.
In summary: The further an object is pulled away from its equilibrium position in SHM, the stronger the restoring force and the greater the acceleration.