Determine whether or not the following quantities can be in the same direction for a SHM
displacement and acceleration

Explanation

To determine whether displacement and acceleration can be in the same direction for Simple Harmonic Motion (SHM), we can analyze the relationship between these two quantities step by step.

### Step 1: Understand the Definitions
- **Displacement (x)**: In SHM, displacement refers to the distance and direction from the mean position (equilibrium position) of the oscillating object.
- **Acceleration (a)**: In SHM, acceleration is the rate of change of velocity and is directed towards the mean position. It is proportional to the negative of the displacement.

### Step 2: Analyze the Direction of Acceleration
- In SHM, the acceleration is always directed towards the mean position. This means that if the object is displaced to the right of the mean position, the acceleration will be directed to the left, and vice versa.
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