The topmost and bottommost velocities of a disc are `v_(1)` and `v_(2)(ltv_(1)` in the same direction. The radius is `R`. Find te value of angular velocity `omega`.

Explanation

To solve the problem, we need to find the angular velocity \( \omega \) of a disc given the topmost velocity \( v_1 \) and the bottommost velocity \( v_2 \) of the disc, where \( v_2 < v_1 \) and both velocities are in the same direction. The radius of the disc is \( R \).

### Step-by-Step Solution:

1. **Understand the Motion of the Disc**:
- The disc is undergoing both rotational and translational motion. The point at the bottommost position (let's call it point P) and the point at the topmost position (let's call it point Q) will have different velocities due to this combined motion.

2. **Define the Velocities**:
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