A man runs across the roof-top of a tall building and jumps horizontally with hope of landing on the roof of the next building which is at a lower height than the first. If his speed is ` 9 m//s`,the horizontal distance between the two buildings is ` 10 m` and height difference is ` 9 m`, will he be able to land on the next building ? (take `g=10 m//s^(2)`).

Explanation

To solve the problem, we need to determine if the man can successfully land on the roof of the next building after jumping horizontally. We will analyze the motion in both the vertical and horizontal directions.

### Step 1: Identify the given data
- Horizontal speed of the man, \( u_x = 9 \, \text{m/s} \)
- Horizontal distance between the two buildings, \( l = 10 \, \text{m} \)
- Height difference between the two buildings, \( h = 9 \, \text{m} \)
- Acceleration due to gravity, \( g = 10 \, \text{m/s}^2 \)

...