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Why would i need more energy to raise the velocity of an object from 2 m/s to 3 m/s, than raising the velocity of the same object from 1 m/s to 2 m/s. Note: I am not talking about the math related to this question, I am talking about the physical intuition. Thank you in advance.

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Inertia in motion is more in first case is more than that in second case, so more energy is needed in first case.