Is an arrow shot from a bow vertically upward jiggling in a straight line or curvilinearly relative

Is an arrow shot from a bow vertically upward jiggling in a straight line or curvilinearly relative to the surface of the Earth?

Let the arrow be released vertically upward with a certain initial velocity V0. If the Earth were stationary, then the trajectory of the arrow would be a straight vertical line. However, in fact, the planet Earth rotates around its axis with a certain speed w. That is, for every second of the arrow’s movement vertically upward, the point from which the arrow was fired shifts in the direction of the rotation of the planet Earth.
Therefore, the correct answer: relative to the Earth, an arrow fired from a bow vertically upward moves curvilinearly.