Assume a round Earth. Ignoring friction, the path of a projectile launched at a speed less than the escape velocity at its surface is

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Ignoring friction and assuming a speed less than escape velocity, the path of a projectile would be an ellipse, with special cases being a circle or a parabola depending on the specific conditions. However, under general conditions, it's an ellipse due to the gravitational pull of the Earth.

Assume a Round Earth