Show that for a particle executing S.H.M., velocity and displacement have a phase difference os `pi//2`.

Explanation

To show that for a particle executing Simple Harmonic Motion (S.H.M.), the velocity and displacement have a phase difference of \( \frac{\pi}{2} \), we can follow these steps:

### Step 1: Define the Displacement in S.H.M.
The displacement \( x(t) \) of a particle in S.H.M. can be expressed as:
\[ x(t) = R \sin(\omega t) \]
where:
...