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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Look here: https://physics.stackexchange.com/questions/535/why-does-kinetic-energy-increase-quadratically-not-linearly-with-speed?rq=1 – Sayan Mandal Sep 24 '17 at 17:20
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under application of a constant force, velocity grows proportionally to time of application, whereas energy grows proportionally to distance covered; the latter increases with increasing velocity – Christoph Sep 24 '17 at 18:59
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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.

Rajendra Pd
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