Yes, if you throw an object in the same direction as the Earth's rotation, it would generally have a higher speed compared to if you threw it against the Earth's rotation. This phenomenon is due to the conservation of angular momentum.
The Earth's rotation imparts a certain angular momentum to objects on its surface. When you throw an object in the same direction as the Earth's rotation, its initial velocity combines with the rotational velocity of the Earth, resulting in a higher total velocity. This is similar to how your speed on a moving vehicle adds to the vehicle's speed.
On the other hand, if you throw an object against the Earth's rotation, you are effectively subtracting its initial velocity from the rotational velocity of the Earth. As a result, the total velocity of the object will be lower than if it was thrown in the same direction as the Earth's rotation.
It's important to note that the effect of the Earth's rotation on the speed of objects is relatively small compared to other factors, such as the initial velocity imparted by the throw and the air resistance acting on the object. Additionally, the rotational velocity of the Earth decreases with distance from the axis of rotation, so the effect may be more noticeable near the equator than at higher latitudes.
Overall, the impact of Earth's rotation on the speed of thrown objects is a subtle effect and may not be readily apparent in everyday scenarios.