Answer:
<em>The cat's speed when it slid off the table was 2.53 m/s</em>
Explanation:
<u>Horizontal Motion</u>
When an object is thrown horizontally at a speed v, from a height h, it describes a curved path ruled by gravity, until it hits the ground.
the range or maximum horizontal distance traveled by the object can be calculated as follows:

The situation described in the problem fits into the concept of a horizontal launch when the cat slides off the table and gets to the ground some distance ahead.
It's given the range as d=1.3m and the height h=1.3 m, thus we can find the cat's speed by solving the equation for v:

Where 
Substituting values:


Calculating:
v = 2.53 m/s
The cat's speed when it slid off the table was 2.53 m/s