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That is the correct spelling of "escalator" (moving stairway).
Most of the grammar is taught in grammar school. China has highest grammar schools in the world.
The correct spelling is "kinetic" (moving, in motion).
Rushed is the correct spelling.
The correct spelling is separating (moving apart).
That is the correct spelling of "ambulance" (emergency medical vehicle).
That is the correct spelling of "waddle" (moving with a side-to-side motion).
That is the correct spelling of the word "head" (upper part of the body, or a leader).
That is the correct spelling of the adjective "kinetic" (moving).
Hoping.The correct spelling is "hoping" (the E is dropped when adding -ing).The spelling hopping means moving in hops.
That is the correct spelling of "bobbing" (moving up and down as if on sea waves).
That is the correct spelling of the verb form "flowing" (moving like water).