The man who died is thought to be in his early 50s.
The other man, reportedly in his 20s, suffered spinal and leg injuries and was taken to Addenbrooke's Hospital in Cambridge.
An investigation into the accident is underway.
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Pollen: West Midlands Update
Pollen: East Midlands Update
Further heavy shower and thunderstorms moving north across the region today, with some sunny spells in between.