Ngozi and Takumi are standing at the bottom of a swimming pool as it is being filled with water. Both are of equal height and wearing identical hats. As the water level rises, what happens to the positions of their hats relative to each other? Provide a very brief response.
As the swimming pool is being filled, the water level will rise around both Ngozi and Takumi at the same rate, assuming the pool is filling evenly. Since they are of equal height and wearing identical hats, their hats will also rise at the same rate. Therefore, the positions of their hats relative to each other will remain unchanged; the hats will maintain the same distance apart as the water level increases, assuming they remain standing upright and do not move closer or further from each other. Gravity will ensure that they stay at the same level relative to each other as long as no other forces are acting on them or their hats.