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Sarah Brooks, from Lincolnshire, was on safari with her partner, slowly following the animal down a road.
The incident was filmed by tourists in the car behind who see the elephant stop walking and turn towards the car.
It then approaches the car from the side and rolls it over and over, leaving it crushed, with the couple inside.
The tourists in the car behind who did the filming are clearly shocked and distressed and heard to say: "Stop the car ... reverse, reverse, they're going to die."
They urge their own driver to reverse and get out of the angry elephant's way.
The elephant was subsequently killed, the park's general manager said, because its behaviour was totally inexplicable.