# Effect of Eath's rotation on a ball thrown upwards [duplicate]

Since the Earth is rotating it should have acceleration (in the sense that there is change in direction of velocity). So if we throw a ball upwards won't this acceleration affect its trajectory in some way? (If yes is it due to the smaller size of the ball and length of its path, compared to that of the Earth, we are not feeling it?)

• Imagine you're a kid being spun around by an adult holding your hands and spinning so fast you fly off the ground. The force that seems to push you outwards, reuiring a great pulling force via your hands, is a pseudoforce called the centrifugal force. If you do move away from the center of rotation, you will keep your speed---which is slower than a radial beam would spin at that distance. For the earth, it is slower by $\Delta v = (\Delta R / R) * \omega$ where $R$ is earth's radius (about 6000 km), $\Delta R$ your change in height (1m) and $\omega=$ 40000km/24hour, so 0.0003 km/hour. Apr 8 '15 at 9:03