Question

Why are air conditioners placed at the top of the room, whereas heaters and blowers are placed at the bottom of the rooms?

Answer 1

air conditioners are placed at the top of the room because they produce cool air and it is heavy so it comes around and cools the room where as heaters and blowers produce hot air which is light in weight so it goes up and cools the room
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Answer 2

Cool air is heavy thereby it goes from top to bottom, i.e, downwards.
whereas hot air is lighter thereby goes from bottom to top, i.e, rise upwards

Therefore AC is installed on top of room and heater is installed on floor of room.