Umberto Eco: Aah, now that is more difficult to explain. I have some philosophical interests and I pursue them through my academic work and my novels. Even my books for children are about non-violence and peace ... you see, the same bunch of ethical, philosophical interests. And then I have a secret. Did you know what will happen if you eliminate the empty spaces from the universe, eliminate the empty spaces in all the atoms? The universe will become as big as my fist. Similarly, we have a lot of empty spaces in our lives. I call them interstices. Say you are coming over to my place. You are in an elevator and while you are coming up, I am waiting for you. This is an interstice, an empty space. I work in empty spaces.
(The Interview)
Umberto Eco : Aah, now that is more difficult to explain. I have some philosophical interests and I pursue them through my academic work and my novels. Even my books for children are about non-violence and peace...you see, the same bunch of ethical, philosophical interests.
And then I have a secret. Did you know what will happen if you eliminate the empty spaces from the universe, eliminate the empty spaces in all the atoms ? The universe will become as big as my fist.
(The Interview)

A ladder of fixed length \( h \) is to be placed along the wall such that it is free to move along the height of the wall.
Based upon the above information, answer the following questions:
(iii) (b) If the foot of the ladder, whose length is 5 m, is being pulled towards the wall such that the rate of decrease of distance \( y \) is \( 2 \, \text{m/s} \), then at what rate is the height on the wall \( x \) increasing when the foot of the ladder is 3 m away from the wall?