“The old one and the young one will be strolling arm in arm to get shaved in my place presently,” the barber laughed as Captain Hagberd walked out of the tap-room of the New Inn near the harbour. He stated that this eccentric old Hagberd, a retired coasting-skipper, was waiting for the return of one of his sons when he noticed a stranger listening to him with a vacuous grin. Barber claims that Colebrook is the only site in the United Kingdom where his longlost sons could be found. Captain Hagberd arrived in Colebrook three years ago after selling his old home in Colchester.

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?