Does the Earth rotate since the materials it was made of were spinning?
Essentially, yes the Earth retains the initial spin that the entire solar system had during its formation, plus it picked up additional momentum during the collision with a large proto-planet.
Earth, the sun, and most other planets rotate counter-clockwise when viewed from below. Once a body begins to spin in the vacuum of space, there isn't much to slow it down, with the exception of some solar winds. This is in accordance with the Nebular Hypothesis, which states that the solar system formed from a swirling cloud of nebulae materials.
A second kick to the Earth came from a large proto-planet the size of Mars striking the early Earth; somewhat ironically, this extra kick reinforced the direction in which the Earth had been spinning anyhow. This was not the case for Venus, whose orbit spins in the opposite direction from that of the other planets in the solar system, even though Venus may have also been struck by a large porto-planet during the solar system's formation.
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Yes, the Earth rotates on its axis. This rotation is a result of the conservation of angular momentum from the spinning motion of the materials that formed the Earth during its accretion phase.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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