IAF fighter pilots have long worried about taking a turn too tightly. As a pilot's body undergoes centripetal acceleration, with the head toward the center of curvature, the blood pressure in the brain decreases, leading to loss of brain function.
There are several warning signs. When the centripetal acceleration is 2g or 3g, the pilot feels heavy. At about 4g, the pilot's vision switches to black and white and narrows to tunnel vision. If that acceleration is sustained or increased, vision ceases adn, soon after, the pilot is unconscious a condition known as g-LOC for g-induced loss of consciousness.
What is the magnitude of the acceleration in g units, of a pilot whose aircraft enters a horizontal circular turn with a velocity of `barvati=(400hati+300hatj)` m/s and 25 s later leaves the turn with a velocity of `barvhatj=(-400hati-300hatj)` m/s? Assume speed is constant.

Explanation

To solve the problem regarding the centripetal acceleration experienced by the pilot during a horizontal circular turn, we can follow these steps:

### Step-by-Step Solution:

1. **Identify Initial and Final Velocities**:
- The initial velocity of the pilot is given as:
\[
\mathbf{v_1} = 400 \hat{i} + 300 \hat{j} \text{ m/s}
...