Toward the air or sky; upward in direction.
From 'air' plus the directional adverbial suffix -wards (from Old English -weardes). The -wards form is especially common in British English.
You'll see 'airwards' in older poetry and flight logs—pilots might describe a plane 'climbing airwards,' though today we'd say 'skyward' or 'upward,' showing how even directional words fade from fashion.
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