A rocket of total mass 1000kg initially is launched from ground. The gases are ejected at the rate 20kg/s with velocity 1000 m/s relative to rocket vertically downwards. The initial acceleration of the rocket is a (in `m//s^(2)`). Find`a/g`. (Take `g=10 m//s^(2)`)

Explanation

To solve the problem, we need to determine the initial acceleration of the rocket and then calculate the ratio of this acceleration to the acceleration due to gravity (g).

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Total mass of the rocket, \( m = 1000 \, \text{kg} \)
- Rate of gas ejection, \( \frac{dm}{dt} = 20 \, \text{kg/s} \)
- Velocity of gases relative to the rocket, \( v_r = 1000 \, \text{m/s} \) (downwards)
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