Police were called at about 8.30pm on Saturday after a crash on Shaftmoor Lane involving a white Seat Ibiza, which is understood to have hit railings.
A 16-year-old boy inside the vehicle was pronounced dead at the scene, West Midlands Police said.
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A second teenage boy, who was a passenger, was taken to hospital with a serious arm injury.
A 19-year-old man was arrested at the scene on suspicion of causing death and serious injury by dangerous driving and failing to provide a breath specimen, police said.
He remains in custody for questioning.
Officers are appealing for witnesses to come forward and for any dashcam footage.