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"1 meter per second" is not a rate of acceleration. "1 meter per second per second" or "1 meter per second2" is. The force required to accelerate 1 kilogram of mass at that rate is called "1 Newton".
There's an extra "per second" in the question. One "kilogram-meter per second squared" is one "newton".
Kilogram per cubic meter is the one that doesn't belong. Square meter is meter^2 and cubic meter is meter^3 but kilogram per cubic meter is a density
(kilograms) x (meters per second)That's a (mass) multiplied by a (speed), which is a unit of [momentum] ... kilogram-meter per second.
One pascal equals one newton per square meter. A newton is the force required to give a one kilogram mass an acceleration of one meter per second per second. Alternately 100,000 dynes.