Question

If an object is thrown at a velocity of 20 m / s, then how high will that object go?​

Answer 1

Explanation:

The only place on Earth where you can throw an object up with 20 m/s and expect it to return to the same spot is the Geographical South Pole. Everywhere else on Earth the Earth rotates away under the returning object, because its radial distance to the Earth axis increases, necessitating a higher rotational speed to stay above the same point, but its rotational speed stays the same, so its angular velocity relative to Earth’s rotational axis is reduced. On Earth we say the object was deflected by the Coriolis fictitious force.

You may object: “But why then also not on the North Pole?” That is because the ice sheet on the North Pole is always in motion, by order of magnitude 0.25 m/s. As gravitation needs 4 seconds to decelerate an object going up with 20m/s back to -20m/s, the point of origin will have moved 1 meter relative to the center of Earth.

You may object again: “But Antarctica is moving at constant speed too, because of continental drift.” It is! But only at a clip of 2.05 cm per year! During the 4 second in flight the continent will have moved a theoretical 2.6 nm. That is 2.6 nanometer!! This is impossible to discern.

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Answer 2

Answer:

The only place on Earth where you can throw an object up with 20 m/s and expect it to return to the same spot is the Geographical South Pole. Everywhere else on Earth the Earth rotates away under the returning object, because its radial distance to the Earth axis increases, necessitating a higher rotational speed to stay above the same point, but its rotational speed stays the same, so its angular velocity relative to Earth’s rotational axis is reduced. On Earth we say the object was deflected by the Coriolis fictitious force.

You may object: “But why then also not on the North Pole?” That is because the ice sheet on the North Pole is always in motion, by order of magnitude 0.25 m/s. As gravitation needs 4 seconds to decelerate an object going up with 20m/s back to -20m/s, the point of origin will have moved 1 meter relative to the center of Earth.

You may object again: “But Antarctica is moving at constant speed too, because of continental drift.” It is! But only at a clip of 2.05 cm per year! During the 4 second in flight the continent will have moved a theoretical 2.6 nm. That is 2.6 nanometer!! This is impossible to discern.

Explanation: