A particle is fired vertically upward with a speed of `9.8 kms^-1`. Find the maximum height attained by the particle. Radius of earth =6400 km and g at the surface`=9.8ms^-2`. Consider only earth's gravitation.

Explanation

To solve the problem of finding the maximum height attained by a particle fired vertically upward with a speed of \(9.8 \, \text{km/s}\), we will use the principle of conservation of energy.

### Step-by-Step Solution:

1. **Identify Given Values:**
- Initial speed \(u = 9.8 \, \text{km/s} = 9.8 \times 10^3 \, \text{m/s}\)
- Radius of the Earth \(R = 6400 \, \text{km} = 6400 \times 10^3 \, \text{m}\)
- Acceleration due to gravity at the surface \(g = 9.8 \, \text{m/s}^2\)
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