Video shows a blue Chevy Camaro doing donuts in the area of Clawiter and Depot Roads.
It jumps onto a curb, knocking over onlookers, then hits a second curb and crashes into a truck.
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Hayward police say the Camaro was stolen from San Jose. The driver was also said to have run off.
A second black car also appeared to hit bystanders.
Police say there are no reports of injuries or of individuals going to the hospital.