A person moves due east at speed 6m/s and feels the wind is blowing to south at speed 6 m/s.
(a) Find actual velocity of wind blow.
(b) If person doubles his velocity then find the relative velocity of wind blow w.r.t. man.

Explanation

To solve the problem step by step, we can break it down into two parts as follows:

### Part (a): Find the actual velocity of the wind.

1. **Identify the velocities**:
- The person is moving due east with a velocity \( V_m = 6 \, \text{m/s} \).
- The person feels the wind blowing to the south with a velocity \( V_{w/m} = 6 \, \text{m/s} \) (relative to the person).

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