Assuming the general expression for the displacement of a particle performing SHM, obtain the expressions for its velocity and acceleration as functions of the displacement.

Explanation

To derive the expressions for velocity and acceleration as functions of displacement for a particle performing Simple Harmonic Motion (SHM), we start with the general equation for displacement.

### Step-by-Step Solution:

1. **Displacement Equation**:
The general equation for the displacement \( x \) of a particle performing SHM is given by:
\[
x = a \sin(\omega t + \alpha)
...