The calculated distance (air line) between Bad Neuenahr-Ahrweiler and Wuppertal is approximately 49 miles respectively 79 kilometers.
By car or train, the actual journey to Wuppertal is certainly longer, as only the direct route (as the crow flies) between Bad Neuenahr-Ahrweiler and Wuppertal has been calculated here.
Air line (approximately)
79 kilometers
43 nautical miles