When a wet cloth dries, water evaporates at temperature below 100 degree ie. the boiling point of water. How water evaporates at temperature below 100 degree?
at higher temperature, more air molucules have such higher velocity. at lower humidity, less water molecules get back to the cloth.
also the water molecules in the cloth are not stationary but having energy. they absorb energy from the atmosphere to escape the cloth.
overall temperature is an average of all molecules but each and every molecule can be at a differant energy state.