A ball is thrown vertically up with a velocity `u`. It passes three points `A, B` and `C` in its upward journey with velocities `u/s,u/3` and `u/4`, respectively. Find `(AB)/(BC)`.

Explanation

To solve the problem, we need to find the ratio of the distances \( AB \) and \( BC \) that a ball travels when thrown vertically upwards with an initial velocity \( u \) and passing through points A, B, and C with given velocities.

### Step-by-Step Solution:

1. **Identify the velocities at points A, B, and C:**
- Velocity at point A, \( v_A = \frac{u}{2} \)
- Velocity at point B, \( v_B = \frac{u}{3} \)
- Velocity at point C, \( v_C = \frac{u}{4} \)
...