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Depends on where on the circumference it is when it lets go from the tire. Basically it can be thrown in any direction in the plane of the wheel.

If it lets go immediately behind the contact patch it'll be thrown mainly backwards. If it lets go 1/4 of a turn after the contact patch it'll be thrown mainly upwards. From there, the later it releases the more forward it'll be thrown.

Between 1/2 turn to 3/4 turn from contact patch it'll be thrown forward-and-down. After that, it'll be down and rear.

The instant it breaks the force keeping it on the tyre it's no longer being pulled toward the centre of the tyre ie its centripetal acceleration is zero so it leaves tangentially and continues from the tyre in a parabolic path due to gravity as projectile motion.

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