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Can someone please explain the derivation of the common formula for average kinetic energy: K = 0.5mv^2?

April 26, 2017average common derivation energy explain Formula k Kinetic

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Can someone please explain the derivation of the common formula for average kinetic energy: K = 0.5mv^2?

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First, K = 0.5mv^2 is not “average” kinetic energy- it is kinetic energy- in fact it is the definition of kinetic energy- there is no “derivation”. At some time, back at the beginning of “physics” someone notice that, in many dynamics problems that quantity was conserved- so they gave it a name!