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Any limit (if it exists, other than the speed of light) is very high.

Meteors can hit the atmosphere at 71 km/s (44 miles per second). I don't know of anything faster than that, so I guess that is the fastest.

44 mi/sec is 15000 mph, mach 24

the speed of light is 299 792 458 m / s or 670 616 629 MPH

the Large Hadron Collider has achieved a speed of 299 792 455 m / s or

670 616 622 MPH

so the Large Hadron Collider can make particles go 7 MPH slower than the speed of light

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