The calculated distance (air line) between Stoke-on-Trent and Bournemouth is approximately 158 miles respectively 255 kilometers.
By car or train, the actual journey to Bournemouth is certainly longer, as only the direct route (as the crow flies) between Stoke-on-Trent and Bournemouth has been calculated here.
Air line (approximately)
255 kilometers
137 nautical miles